Atkin-Lehner |
2+ 3- 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
71370o |
Isogeny class |
Conductor |
71370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-17342910 = -1 · 2 · 37 · 5 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 13- 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,-405] |
[a1,a2,a3,a4,a6] |
j |
-148035889/23790 |
j-invariant |
L |
1.4995759163503 |
L(r)(E,1)/r! |
Ω |
0.74978795389645 |
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 |
23790r1 |
Quadratic twists by: -3 |