Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7812d |
Isogeny class |
Conductor |
7812 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
478375632 = 24 · 39 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,621] |
[a1,a2,a3,a4,a6] |
Generators |
[31:154:1] |
Generators of the group modulo torsion |
j |
3538944/1519 |
j-invariant |
L |
3.8957459019896 |
L(r)(E,1)/r! |
Ω |
1.4981756649673 |
Real period |
R |
2.6003265124953 |
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 |
31248bc1 124992o1 7812c1 54684d1 |
Quadratic twists by: -4 8 -3 -7 |