Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825bt |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1178296875 = -1 · 34 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -3 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-233,2069] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:37:1] [13:37:1] |
Generators of the group modulo torsion |
j |
-1835008/1539 |
j-invariant |
L |
10.434483405953 |
L(r)(E,1)/r! |
Ω |
1.4109652340394 |
Real period |
R |
0.46220501904657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2793b1 69825a1 |
Quadratic twists by: 5 -7 |