Atkin-Lehner |
2+ 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254i |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2278080 |
Modular degree for the optimal curve |
Δ |
-1109949077663720448 = -1 · 210 · 3 · 710 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18057,50689605] |
[a1,a2,a3,a4,a6] |
Generators |
[-238:6567:1] |
Generators of the group modulo torsion |
j |
-2305248169/3929367552 |
j-invariant |
L |
2.6431687944645 |
L(r)(E,1)/r! |
Ω |
0.22161651572612 |
Real period |
R |
2.9816920640542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998851711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254o1 |
Quadratic twists by: -7 |