Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912x |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
420323170512 = 24 · 3 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2319,-30360] |
[a1,a2,a3,a4,a6] |
Generators |
[-8312:29289:512] |
Generators of the group modulo torsion |
j |
733001728/223293 |
j-invariant |
L |
5.5656811815928 |
L(r)(E,1)/r! |
Ω |
0.70424149297454 |
Real period |
R |
7.9030861379775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456v1 10416b1 |
Quadratic twists by: -4 -7 |