Atkin-Lehner |
5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10075a |
Isogeny class |
Conductor |
10075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-393334296875 = -1 · 57 · 132 · 313 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 0 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-783,31593] |
[a1,a2,a3,a4,a6] |
Generators |
[7:162:1] [33:201:1] |
Generators of the group modulo torsion |
j |
-3402072064/25173395 |
j-invariant |
L |
4.2527942279009 |
L(r)(E,1)/r! |
Ω |
0.81515239348043 |
Real period |
R |
0.43476474071138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90675w1 2015a1 |
Quadratic twists by: -3 5 |