Atkin-Lehner |
2+ 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770y |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6349407750000 = 24 · 38 · 56 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61164,5836320] |
[a1,a2,a3,a4,a6] |
Generators |
[156:192:1] [-249:2487:1] |
Generators of the group modulo torsion |
j |
34712653781147329/8709750000 |
j-invariant |
L |
7.3238821947854 |
L(r)(E,1)/r! |
Ω |
0.73432436024883 |
Real period |
R |
0.41556807132577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590v2 |
Quadratic twists by: -3 |