Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bh |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1670699692408061952 = 214 · 310 · 73 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1871006,983558445] |
[a1,a2,a3,a4,a6] |
Generators |
[1073:-15045:1] |
Generators of the group modulo torsion |
j |
993622704866589214873/2291769125388288 |
j-invariant |
L |
7.201542328944 |
L(r)(E,1)/r! |
Ω |
0.26666819349661 |
Real period |
R |
0.3214955846396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926e1 |
Quadratic twists by: -3 |