Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cj |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4377600 |
Modular degree for the optimal curve |
Δ |
2.8668387555866E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1652526,-70981401] |
[a1,a2,a3,a4,a6] |
Generators |
[340588269844533311376:-32647972627076724075137:36737404262125568] |
Generators of the group modulo torsion |
j |
4242095018217176401/2436772735498500 |
j-invariant |
L |
8.0481734144398 |
L(r)(E,1)/r! |
Ω |
0.14467555269075 |
Real period |
R |
27.814559044777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910bj1 |
Quadratic twists by: -7 |