Atkin-Lehner |
2+ 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830s |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36700160 |
Modular degree for the optimal curve |
Δ |
1.0693563510916E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-253293345,-1550753132675] |
[a1,a2,a3,a4,a6] |
Generators |
[-1013463992970310:3617664419877455:110453817592] |
Generators of the group modulo torsion |
j |
2465287211171034393444994321/1466881140043284480000 |
j-invariant |
L |
5.9643220229639 |
L(r)(E,1)/r! |
Ω |
0.03784505321889 |
Real period |
R |
19.699806808093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000212146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610ba1 |
Quadratic twists by: -3 |