Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119756b |
Isogeny class |
Conductor |
119756 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-180275598023935232 = -1 · 28 · 79 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 1 2 7- 6 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129572,-27238492] |
[a1,a2,a3,a4,a6] |
j |
-7987894963792/5985614453 |
j-invariant |
L |
5.8486617198491 |
L(r)(E,1)/r! |
Ω |
0.12184711894669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17108d1 |
Quadratic twists by: -7 |