Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616cp |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-11323256344058736 = -1 · 24 · 313 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,-5122019] |
[a1,a2,a3,a4,a6] |
j |
-12967168/8251551 |
j-invariant |
L |
1.4521652128575 |
L(r)(E,1)/r! |
Ω |
0.18152065767366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808z1 25872r1 11088r1 |
Quadratic twists by: -4 -3 -7 |