Atkin-Lehner |
2+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6962a |
Isogeny class |
Conductor |
6962 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-841232384 = -1 · 212 · 593 |
Discriminant |
Eigenvalues |
2+ -1 3 1 6 -6 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,164,-1072] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1812:1] |
Generators of the group modulo torsion |
j |
2352637/4096 |
j-invariant |
L |
3.1692643444657 |
L(r)(E,1)/r! |
Ω |
0.83186140532129 |
Real period |
R |
0.95246164931814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55696m1 62658q1 6962h1 |
Quadratic twists by: -4 -3 -59 |