Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850m |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
5988475278800000000 = 210 · 58 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -1 -5 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-601501,-135617352] |
[a1,a2,a3,a4,a6] |
Generators |
[-477:6782:1] |
Generators of the group modulo torsion |
j |
5452947409/1356800 |
j-invariant |
L |
3.3658263965297 |
L(r)(E,1)/r! |
Ω |
0.17455671922707 |
Real period |
R |
4.8205342545948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999994619882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970w1 129850b1 |
Quadratic twists by: 5 -7 |