Atkin-Lehner |
2- 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850cm |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-1.2599155274688E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-116938,1707827492] |
[a1,a2,a3,a4,a6] |
Generators |
[608:-43450:1] |
Generators of the group modulo torsion |
j |
-11318031637772761/80634593758003200 |
j-invariant |
L |
14.820436472797 |
L(r)(E,1)/r! |
Ω |
0.122691786087 |
Real period |
R |
0.35950606900598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970b1 |
Quadratic twists by: 5 |