Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498b |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2396126151269396658 = 2 · 34 · 78 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1251294,-534099078] |
[a1,a2,a3,a4,a6] |
Generators |
[-101445905:321004723:166375] |
Generators of the group modulo torsion |
j |
84448510979617/933897762 |
j-invariant |
L |
2.918720794566 |
L(r)(E,1)/r! |
Ω |
0.14284001061136 |
Real period |
R |
10.216748031714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42a5 |
Quadratic twists by: 37 |