Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928f |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6359040 |
Modular degree for the optimal curve |
Δ |
-4.3053972852913E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 1 3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55074060,-157317667344] |
[a1,a2,a3,a4,a6] |
j |
-3580418379458257875/83441483776 |
j-invariant |
L |
2.7709722933448 |
L(r)(E,1)/r! |
Ω |
0.027709722618609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928db1 3654a1 116928a1 |
Quadratic twists by: -4 8 -3 |