Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9424c |
Isogeny class |
Conductor |
9424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1497594784206801664 = -1 · 28 · 193 · 318 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 -5 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,199359,-47950003] |
[a1,a2,a3,a4,a6] |
Generators |
[572:15903:1] |
Generators of the group modulo torsion |
j |
3422859777193327616/5849979625807819 |
j-invariant |
L |
6.1340808455927 |
L(r)(E,1)/r! |
Ω |
0.14112361331493 |
Real period |
R |
1.8110838852272 |
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 |
4712c1 37696n1 84816g1 |
Quadratic twists by: -4 8 -3 |