Atkin-Lehner |
2- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150p |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
91148022500000000 = 28 · 510 · 232 · 413 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-112563,539617] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:2209:1] [-292:3067:1] |
Generators of the group modulo torsion |
j |
10094641617139561/5833473440000 |
j-invariant |
L |
8.8366516772198 |
L(r)(E,1)/r! |
Ω |
0.28775673308592 |
Real period |
R |
0.63976577704306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430e1 |
Quadratic twists by: 5 |