Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825ce |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-69023356734241875 = -1 · 3 · 54 · 710 · 194 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,40017,-12245656] |
[a1,a2,a3,a4,a6] |
Generators |
[458:10117:1] |
Generators of the group modulo torsion |
j |
40140800/390963 |
j-invariant |
L |
6.48295326399 |
L(r)(E,1)/r! |
Ω |
0.17134992165795 |
Real period |
R |
3.1528821263195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69825k1 69825ba1 |
Quadratic twists by: 5 -7 |