Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920bw |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3932160 |
Modular degree for the optimal curve |
Δ |
27722088324000000 = 28 · 316 · 56 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28519167,-58621019074] |
[a1,a2,a3,a4,a6] |
Generators |
[11452971227386:-981990113822550:1083206683] |
Generators of the group modulo torsion |
j |
13745695765783090269904/148545140625 |
j-invariant |
L |
7.8969690619183 |
L(r)(E,1)/r! |
Ω |
0.065330404305275 |
Real period |
R |
20.146232335206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960br1 38640f1 |
Quadratic twists by: -4 -3 |