Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23534o |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
55104 |
Modular degree for the optimal curve |
Δ |
-111788953207694 = -1 · 2 · 7 · 418 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -2 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24409,-1563685] |
[a1,a2,a3,a4,a6] |
Generators |
[617353:12118116:1331] |
Generators of the group modulo torsion |
j |
-201433/14 |
j-invariant |
L |
3.5175311662209 |
L(r)(E,1)/r! |
Ω |
0.19021443582883 |
Real period |
R |
6.164150389697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23534a1 |
Quadratic twists by: 41 |