Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
75690t |
Isogeny class |
Conductor |
75690 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3902635809081000000 = 26 · 38 · 56 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2524419,1541499925] |
[a1,a2,a3,a4,a6] |
Generators |
[254:30149:1] |
Generators of the group modulo torsion |
j |
4102915888729/9000000 |
j-invariant |
L |
4.5923771767103 |
L(r)(E,1)/r! |
Ω |
0.24838534055941 |
Real period |
R |
1.5407434965515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987861 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25230p6 90c6 |
Quadratic twists by: -3 29 |