Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825q |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-1.7234467498213E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 5 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,565925,-113969750] |
[a1,a2,a3,a4,a6] |
Generators |
[24611222:746108402:79507] |
Generators of the group modulo torsion |
j |
17446602575/15000633 |
j-invariant |
L |
7.5492336023388 |
L(r)(E,1)/r! |
Ω |
0.12074753743416 |
Real period |
R |
10.420134664124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69825ci1 1425f1 |
Quadratic twists by: 5 -7 |