Atkin-Lehner |
5- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
23485c |
Isogeny class |
Conductor |
23485 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-375258712675 = -1 · 52 · 75 · 114 · 61 |
Discriminant |
Eigenvalues |
0 2 5- 7- 11- -4 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-495,-29612] |
[a1,a2,a3,a4,a6] |
Generators |
[74:577:1] |
Generators of the group modulo torsion |
j |
-13440529432576/375258712675 |
j-invariant |
L |
6.5711790430131 |
L(r)(E,1)/r! |
Ω |
0.41369500004492 |
Real period |
R |
0.39710288028014 |
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 |
117425c1 |
Quadratic twists by: 5 |