Atkin-Lehner |
2- 7- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
120274q |
Isogeny class |
Conductor |
120274 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168192 |
Modular degree for the optimal curve |
Δ |
-5858065444 = -1 · 22 · 74 · 112 · 712 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11- -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11206,-461273] |
[a1,a2,a3,a4,a6] |
j |
-1286152950683689/48413764 |
j-invariant |
L |
3.7121513078538 |
L(r)(E,1)/r! |
Ω |
0.23200947523634 |
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 |
120274c1 |
Quadratic twists by: -11 |