Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cg |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
60825600 |
Modular degree for the optimal curve |
Δ |
-1.3651613121841E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50842401,1783112576223] |
[a1,a2,a3,a4,a6] |
Generators |
[76663:21138488:1] |
Generators of the group modulo torsion |
j |
-123541715459841050534401/11603679692850000000000 |
j-invariant |
L |
7.7920592113169 |
L(r)(E,1)/r! |
Ω |
0.039573194009406 |
Real period |
R |
2.4612807356433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bl1 |
Quadratic twists by: -7 |