Atkin-Lehner |
3+ 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104811f |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
103294070397 = 35 · 72 · 234 · 31 |
Discriminant |
Eigenvalues |
2 3+ 0 7- -5 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2018,31961] |
[a1,a2,a3,a4,a6] |
Generators |
[-4242:54379:216] |
Generators of the group modulo torsion |
j |
18556937728000/2108042253 |
j-invariant |
L |
9.2717463954168 |
L(r)(E,1)/r! |
Ω |
1.0268346914462 |
Real period |
R |
4.5147220215113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008164 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104811m1 |
Quadratic twists by: -7 |