Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784t |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-19677504 = -1 · 26 · 3 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,-210] |
[a1,a2,a3,a4,a6] |
Generators |
[548:995:64] |
Generators of the group modulo torsion |
j |
-3241792/307461 |
j-invariant |
L |
5.0772117568998 |
L(r)(E,1)/r! |
Ω |
0.95827397026148 |
Real period |
R |
5.2982882917235 |
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 |
14784w1 7392f4 44352cb1 103488ea1 |
Quadratic twists by: -4 8 -3 -7 |