Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
100928x |
Isogeny class |
Conductor |
100928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
935424 |
Modular degree for the optimal curve |
Δ |
-100890745404964864 = -1 · 214 · 197 · 832 |
Discriminant |
Eigenvalues |
2- 2 3 -1 1 4 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,90571,-11142163] |
[a1,a2,a3,a4,a6] |
Generators |
[709594828514386592653980:8109966350144424658493719:5709908889146749262625] |
Generators of the group modulo torsion |
j |
5014948370604032/6157882409971 |
j-invariant |
L |
13.365813369531 |
L(r)(E,1)/r! |
Ω |
0.18017590117987 |
Real period |
R |
37.091012954579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100928k1 25232n1 |
Quadratic twists by: -4 8 |