Atkin-Lehner |
3- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275t |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
297984 |
Modular degree for the optimal curve |
Δ |
-72046875 = -1 · 3 · 56 · 29 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 4 -5 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33358,2333944] |
[a1,a2,a3,a4,a6] |
Generators |
[103:37:1] |
Generators of the group modulo torsion |
j |
-262734266478592/4611 |
j-invariant |
L |
4.3934776308652 |
L(r)(E,1)/r! |
Ω |
1.3924315051881 |
Real period |
R |
0.78881395945167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4611b1 |
Quadratic twists by: 5 |