Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672be |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
81500110851208192 = 210 · 118 · 135 |
Discriminant |
Eigenvalues |
2+ 1 0 4 11- 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-195213,30158291] |
[a1,a2,a3,a4,a6] |
Generators |
[-461:4732:1] |
Generators of the group modulo torsion |
j |
3748096000/371293 |
j-invariant |
L |
9.3832371620491 |
L(r)(E,1)/r! |
Ω |
0.33253908411985 |
Real period |
R |
2.8216945322807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dw1 12584k1 100672g1 |
Quadratic twists by: -4 8 -11 |