Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12978u |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-350471876328 = -1 · 23 · 311 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1265,-33015] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1260:1] |
Generators of the group modulo torsion |
j |
-306863943625/480757032 |
j-invariant |
L |
6.8009288138368 |
L(r)(E,1)/r! |
Ω |
0.37943582076218 |
Real period |
R |
1.4936493520335 |
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 |
103824cj1 4326a1 90846dl1 |
Quadratic twists by: -4 -3 -7 |