Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968cn |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-23769628916318208 = -1 · 233 · 33 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23595,7547738] |
[a1,a2,a3,a4,a6] |
Generators |
[991:30942:1] |
Generators of the group modulo torsion |
j |
-897199875/14680064 |
j-invariant |
L |
7.3838962570923 |
L(r)(E,1)/r! |
Ω |
0.32017537675329 |
Real period |
R |
5.7655091440859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15246bb1 121968co2 121968da1 |
Quadratic twists by: -4 -3 -11 |