Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13616h |
Isogeny class |
Conductor |
13616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
80171008 = 212 · 232 · 37 |
Discriminant |
Eigenvalues |
2- -1 0 3 -1 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-453,-3539] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:5:1] |
Generators of the group modulo torsion |
j |
2515456000/19573 |
j-invariant |
L |
4.2528318756642 |
L(r)(E,1)/r! |
Ω |
1.0351395557162 |
Real period |
R |
2.0542311672757 |
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 |
851a1 54464v1 122544x1 |
Quadratic twists by: -4 8 -3 |