Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12350g |
Isogeny class |
Conductor |
12350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-469300000000 = -1 · 28 · 58 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 -1 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,175,-32875] |
[a1,a2,a3,a4,a6] |
j |
1503815/1201408 |
j-invariant |
L |
1.7455106018546 |
L(r)(E,1)/r! |
Ω |
0.43637765046365 |
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 |
98800cs1 111150ex1 12350q1 |
Quadratic twists by: -4 -3 5 |