Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300s |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-924218750000 = -1 · 24 · 511 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,867,45488] |
[a1,a2,a3,a4,a6] |
Generators |
[928:28300:1] |
Generators of the group modulo torsion |
j |
1703936/21875 |
j-invariant |
L |
6.8632121778117 |
L(r)(E,1)/r! |
Ω |
0.65374376539828 |
Real period |
R |
5.2491607587391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999105575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23660h1 118300f1 |
Quadratic twists by: 5 13 |