Atkin-Lehner |
5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7685d |
Isogeny class |
Conductor |
7685 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
2128 |
Modular degree for the optimal curve |
Δ |
-120078125 = -1 · 57 · 29 · 53 |
Discriminant |
Eigenvalues |
-1 -1 5- -3 -1 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,105,370] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] [10:45:1] |
Generators of the group modulo torsion |
j |
127947874319/120078125 |
j-invariant |
L |
3.1353256606241 |
L(r)(E,1)/r! |
Ω |
1.2206136452884 |
Real period |
R |
0.36694958108347 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122960t1 69165j1 38425f1 |
Quadratic twists by: -4 -3 5 |