Atkin-Lehner |
2- 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67522s |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-26437285149184 = -1 · 29 · 78 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 2 3 7- -1 13- 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1324,-248627] |
[a1,a2,a3,a4,a6] |
j |
-2181825073/224713216 |
j-invariant |
L |
10.654613751943 |
L(r)(E,1)/r! |
Ω |
0.29596149315777 |
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 |
9646d1 |
Quadratic twists by: -7 |