Atkin-Lehner |
2+ 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446i |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1847901194872750248 = 23 · 3 · 79 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31497125104,-2151578202250952] |
[a1,a2,a3,a4,a6] |
Generators |
[-16547483934980464742648688676038608701262518840650706226175985167:8273653027075584948247829915157182504718739691021840028640492066:161493618405333929808946530382542276139305443327460045409413] |
Generators of the group modulo torsion |
j |
29372994119520171951153469478137/15706900992552 |
j-invariant |
L |
4.145373067213 |
L(r)(E,1)/r! |
Ω |
0.011332659124933 |
Real period |
R |
91.447493072808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778j3 |
Quadratic twists by: -7 |