Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280n |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
720000 |
Modular degree for the optimal curve |
Δ |
-7076003888742400000 = -1 · 217 · 55 · 175 · 233 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -2 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4773203,-4015906798] |
[a1,a2,a3,a4,a6] |
Generators |
[38287469:6474450238:1331] |
Generators of the group modulo torsion |
j |
-2936253036372507983529/1727540011900000 |
j-invariant |
L |
5.6239797422018 |
L(r)(E,1)/r! |
Ω |
0.0510683419239 |
Real period |
R |
11.012653887573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910c1 125120cw1 |
Quadratic twists by: -4 8 |