Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120v |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
-2.7214976173815E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1124016,-917086716] |
[a1,a2,a3,a4,a6] |
Generators |
[20232:2873742:1] |
Generators of the group modulo torsion |
j |
-153370425274946534596/265771251697415625 |
j-invariant |
L |
6.9308432455652 |
L(r)(E,1)/r! |
Ω |
0.069248626849782 |
Real period |
R |
8.3405303017002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49560u1 |
Quadratic twists by: -4 |