Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394o |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
521240832 = 28 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347,2315] |
[a1,a2,a3,a4,a6] |
Generators |
[3:34:1] |
Generators of the group modulo torsion |
j |
6321363049/715008 |
j-invariant |
L |
3.8714787131508 |
L(r)(E,1)/r! |
Ω |
1.5957987330226 |
Real period |
R |
0.15162778022364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152bo1 76608cj1 798f1 59850bk1 |
Quadratic twists by: -4 8 -3 5 |