Atkin-Lehner |
7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62699b |
Isogeny class |
Conductor |
62699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-17542906663260797 = -1 · 74 · 1310 · 53 |
Discriminant |
Eigenvalues |
1 -3 2 7+ -2 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33916,6819385] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:1165:1] |
Generators of the group modulo torsion |
j |
-31297617/127253 |
j-invariant |
L |
4.0383423669716 |
L(r)(E,1)/r! |
Ω |
0.33920433359731 |
Real period |
R |
5.9526691839137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62699h1 |
Quadratic twists by: 13 |