Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102p |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-2848233142 = -1 · 2 · 176 · 59 |
Discriminant |
Eigenvalues |
2- -2 2 3 1 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1162,-15558] |
[a1,a2,a3,a4,a6] |
j |
-7189057/118 |
j-invariant |
L |
3.6760825833534 |
L(r)(E,1)/r! |
Ω |
0.40845362037174 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118c1 |
Quadratic twists by: 17 |