Atkin-Lehner |
3- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
77025h |
Isogeny class |
Conductor |
77025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1299796875 = -1 · 34 · 56 · 13 · 79 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-183,1919] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-38:1] |
Generators of the group modulo torsion |
j |
-43614208/83187 |
j-invariant |
L |
5.2397799325955 |
L(r)(E,1)/r! |
Ω |
1.3624969467275 |
Real period |
R |
0.4807148326012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3081a1 |
Quadratic twists by: 5 |