Atkin-Lehner |
3+ 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70725d |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
22394880 |
Modular degree for the optimal curve |
Δ |
4.4487243408418E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 2 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2119621775,37559989347000] |
[a1,a2,a3,a4,a6] |
j |
67402934335228534245176614129/28471835781387225 |
j-invariant |
L |
0.80719809184307 |
L(r)(E,1)/r! |
Ω |
0.10089976059603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14145c1 |
Quadratic twists by: 5 |