Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328o |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1993724928 = 210 · 34 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1461,-20907] |
[a1,a2,a3,a4,a6] |
Generators |
[2604:23005:27] |
Generators of the group modulo torsion |
j |
337032380416/1946997 |
j-invariant |
L |
7.8613474523323 |
L(r)(E,1)/r! |
Ω |
0.77243744316944 |
Real period |
R |
5.0886628342386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328cj1 6708g1 |
Quadratic twists by: -4 8 |