Atkin-Lehner |
2+ 3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86394t |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-17070987808209258 = -1 · 2 · 39 · 7 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11- -3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,56263,3647175] |
[a1,a2,a3,a4,a6] |
j |
91883774279/79637418 |
j-invariant |
L |
0.50674114021132 |
L(r)(E,1)/r! |
Ω |
0.25337059932581 |
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 |
86394bs1 |
Quadratic twists by: -11 |