Atkin-Lehner |
5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575bb |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
120384 |
Modular degree for the optimal curve |
Δ |
-3081408914375 = -1 · 54 · 118 · 23 |
Discriminant |
Eigenvalues |
1 1 5- 0 11- -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7626,269223] |
[a1,a2,a3,a4,a6] |
j |
-366025/23 |
j-invariant |
L |
2.3624444522312 |
L(r)(E,1)/r! |
Ω |
0.78748148642448 |
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 |
69575g1 69575bc1 |
Quadratic twists by: 5 -11 |