Atkin-Lehner |
2- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
67100m |
Isogeny class |
Conductor |
67100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2621093750000 = -1 · 24 · 512 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 11- -2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2075,-68875] |
[a1,a2,a3,a4,a6] |
j |
3952191744/10484375 |
j-invariant |
L |
5.0070495306217 |
L(r)(E,1)/r! |
Ω |
0.41725412821165 |
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 |
13420k1 |
Quadratic twists by: 5 |