Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70395s |
Isogeny class |
Conductor |
70395 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-139880276671729815 = -1 · 33 · 5 · 132 · 1910 |
Discriminant |
Eigenvalues |
1 3- 5- -4 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,128147,3479483] |
[a1,a2,a3,a4,a6] |
Generators |
[997:33005:1] |
Generators of the group modulo torsion |
j |
4946890630319/2973273615 |
j-invariant |
L |
7.6465819782723 |
L(r)(E,1)/r! |
Ω |
0.20048354971685 |
Real period |
R |
6.3567825467265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3705c1 |
Quadratic twists by: -19 |