Atkin-Lehner |
2+ 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15656d |
Isogeny class |
Conductor |
15656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7744 |
Modular degree for the optimal curve |
Δ |
31312 = 24 · 19 · 103 |
Discriminant |
Eigenvalues |
2+ -3 -4 -3 -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-202,1105] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-26:1] [4:19:1] |
Generators of the group modulo torsion |
j |
56971524096/1957 |
j-invariant |
L |
3.1222803606896 |
L(r)(E,1)/r! |
Ω |
3.4639635367823 |
Real period |
R |
0.45068031570413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31312g1 125248v1 |
Quadratic twists by: -4 8 |