Atkin-Lehner |
3- 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29601l |
Isogeny class |
Conductor |
29601 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-2573284526183943 = -1 · 312 · 113 · 13 · 234 |
Discriminant |
Eigenvalues |
-1 3- 0 4 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39605,-3883660] |
[a1,a2,a3,a4,a6] |
Generators |
[480:9115:1] |
Generators of the group modulo torsion |
j |
-9424014732015625/3529882751967 |
j-invariant |
L |
4.0927581447586 |
L(r)(E,1)/r! |
Ω |
0.16611226835685 |
Real period |
R |
2.0532088454611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867i1 |
Quadratic twists by: -3 |