Atkin-Lehner |
2- 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1914o |
Isogeny class |
Conductor |
1914 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-2540077056 = -1 · 215 · 35 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 3 11- -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-585,5913] |
[a1,a2,a3,a4,a6] |
j |
-22143063655441/2540077056 |
j-invariant |
L |
4.2151120368952 |
L(r)(E,1)/r! |
Ω |
1.4050373456317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
15312k1 61248f1 5742e1 47850n1 |
Quadratic twists by: -4 8 -3 5 |