Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450n |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
1.49270833152E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26496492,-52486625584] |
[a1,a2,a3,a4,a6] |
Generators |
[-777873586376:231574809188:263374721] |
Generators of the group modulo torsion |
j |
53514014005477719/3882876928 |
j-invariant |
L |
3.5713247773756 |
L(r)(E,1)/r! |
Ω |
0.066543302351962 |
Real period |
R |
13.417296147763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cv1 72450da1 |
Quadratic twists by: -3 5 |