Atkin-Lehner |
2+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100450r |
Isogeny class |
Conductor |
100450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
206812235875000 = 23 · 56 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 4 2 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26975,-1569875] |
[a1,a2,a3,a4,a6] |
Generators |
[-9995:41184:125] |
Generators of the group modulo torsion |
j |
3442951/328 |
j-invariant |
L |
3.7510180118508 |
L(r)(E,1)/r! |
Ω |
0.37480421144069 |
Real period |
R |
5.0039699500157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999719377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018r1 100450h1 |
Quadratic twists by: 5 -7 |