Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280k |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-104405655732750000 = -1 · 24 · 36 · 56 · 174 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87798,18491753] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3366:1] |
Generators of the group modulo torsion |
j |
-6416970903832576/8951102171875 |
j-invariant |
L |
6.6664494030424 |
L(r)(E,1)/r! |
Ω |
0.30195038893123 |
Real period |
R |
2.7597453362098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999731266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12920l1 |
Quadratic twists by: -3 |