Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5700r |
Isogeny class |
Conductor |
5700 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
33845178206250000 = 24 · 37 · 58 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -4 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-255958,48965213] |
[a1,a2,a3,a4,a6] |
Generators |
[233:1425:1] |
Generators of the group modulo torsion |
j |
296723207944960/5415228513 |
j-invariant |
L |
4.4622673784734 |
L(r)(E,1)/r! |
Ω |
0.36854407134207 |
Real period |
R |
0.11531262571158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22800ck1 91200bp1 17100bg1 5700e1 |
Quadratic twists by: -4 8 -3 5 |