Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605bf |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
24634368 |
Modular degree for the optimal curve |
Δ |
1.8912888923902E+23 |
Discriminant |
Eigenvalues |
2 0 5- 7- 5 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-69649727,222751005377] |
[a1,a2,a3,a4,a6] |
j |
1134964776505135104/5744580078125 |
j-invariant |
L |
2.2312636190252 |
L(r)(E,1)/r! |
Ω |
0.10142116870174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515f1 129605o1 |
Quadratic twists by: -7 -23 |