Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
34138h |
Isogeny class |
Conductor |
34138 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-75299411115858592 = -1 · 25 · 1312 · 101 |
Discriminant |
Eigenvalues |
2- -2 0 1 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,105537,-390599] |
[a1,a2,a3,a4,a6] |
j |
26932556234375/15600246688 |
j-invariant |
L |
2.0489983175792 |
L(r)(E,1)/r! |
Ω |
0.20489983175853 |
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 |
2626c1 |
Quadratic twists by: 13 |