Atkin-Lehner |
2- 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598ba |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
97918053133824 = 29 · 37 · 75 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32324,2193639] |
[a1,a2,a3,a4,a6] |
Generators |
[341:5373:1] [-163:1845:1] |
Generators of the group modulo torsion |
j |
5123407292382457/134318317056 |
j-invariant |
L |
12.500544317532 |
L(r)(E,1)/r! |
Ω |
0.5976306385118 |
Real period |
R |
0.058102332741611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19866f1 |
Quadratic twists by: -3 |