Atkin-Lehner |
3+ 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23205d |
Isogeny class |
Conductor |
23205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7520 |
Modular degree for the optimal curve |
Δ |
-13157235 = -1 · 35 · 5 · 72 · 13 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- -2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,34,-169] |
[a1,a2,a3,a4,a6] |
j |
4220112896/13157235 |
j-invariant |
L |
2.2920291491522 |
L(r)(E,1)/r! |
Ω |
1.1460145745761 |
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 |
69615w1 116025z1 |
Quadratic twists by: -3 5 |