Atkin-Lehner |
2+ 7- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
98294b |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17952000 |
Modular degree for the optimal curve |
Δ |
-5.1990795308183E+23 |
Discriminant |
Eigenvalues |
2+ 0 3 7- -6 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35635553,88934086653] |
[a1,a2,a3,a4,a6] |
Generators |
[-667145:44893029:125] |
Generators of the group modulo torsion |
j |
-42538873695051049514073/4419144685308215296 |
j-invariant |
L |
3.9644990667573 |
L(r)(E,1)/r! |
Ω |
0.090386670066334 |
Real period |
R |
10.965386505291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999944364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14042b1 |
Quadratic twists by: -7 |