Atkin-Lehner |
5- 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14245c |
Isogeny class |
Conductor |
14245 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
16059200465 = 5 · 72 · 116 · 37 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-632,299] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:269:8] |
Generators of the group modulo torsion |
j |
27986475935881/16059200465 |
j-invariant |
L |
8.3970587757183 |
L(r)(E,1)/r! |
Ω |
1.0590164928294 |
Real period |
R |
2.6430368279042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205m1 71225g1 99715g1 |
Quadratic twists by: -3 5 -7 |