Atkin-Lehner |
2+ 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430b |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
203520 |
Modular degree for the optimal curve |
Δ |
-1423342969840 = -1 · 24 · 5 · 118 · 83 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11- -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-729,57836] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:242:1] [55:402:1] |
Generators of the group modulo torsion |
j |
-24137569/803440 |
j-invariant |
L |
5.0726986145756 |
L(r)(E,1)/r! |
Ω |
0.71107943370453 |
Real period |
R |
3.5669001065874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9130f1 |
Quadratic twists by: -11 |