Atkin-Lehner |
2+ 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080n |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1253145600 = -1 · 210 · 33 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,240,1008] |
[a1,a2,a3,a4,a6] |
Generators |
[3:42:1] |
Generators of the group modulo torsion |
j |
1486779836/1223775 |
j-invariant |
L |
7.4484921610066 |
L(r)(E,1)/r! |
Ω |
0.99051596306413 |
Real period |
R |
1.2533017199718 |
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 |
62160n1 93240bj1 |
Quadratic twists by: -4 -3 |