Atkin-Lehner |
2+ 3- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122544i |
Isogeny class |
Conductor |
122544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
5000671634688 = 28 · 36 · 232 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -5 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4764,66652] |
[a1,a2,a3,a4,a6] |
Generators |
[498:851:8] |
Generators of the group modulo torsion |
j |
64072471552/26795437 |
j-invariant |
L |
7.5126409645291 |
L(r)(E,1)/r! |
Ω |
0.69460762572924 |
Real period |
R |
1.8026102505128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61272n1 13616f1 |
Quadratic twists by: -4 -3 |