Atkin-Lehner |
2- 3- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27306j |
Isogeny class |
Conductor |
27306 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-24223480272 = -1 · 24 · 36 · 373 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 3 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,715,1181] |
[a1,a2,a3,a4,a6] |
Generators |
[25:172:1] |
Generators of the group modulo torsion |
j |
55524368375/33228368 |
j-invariant |
L |
7.4996809652861 |
L(r)(E,1)/r! |
Ω |
0.73261506737256 |
Real period |
R |
0.85307201777222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3034a1 |
Quadratic twists by: -3 |