Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350bd |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-22635450 = -1 · 2 · 39 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -4 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25,217] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:109:8] |
Generators of the group modulo torsion |
j |
3645/46 |
j-invariant |
L |
6.3059930495851 |
L(r)(E,1)/r! |
Ω |
1.5829664224464 |
Real period |
R |
1.9918277987979 |
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 |
82800cg1 10350a1 10350f1 |
Quadratic twists by: -4 -3 5 |