Atkin-Lehner |
2+ 5+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
101050d |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
9745920 |
Modular degree for the optimal curve |
Δ |
3312960296429687500 = 22 · 59 · 432 · 475 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 -1 5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11488567,14990727841] |
[a1,a2,a3,a4,a6] |
Generators |
[2584:49233:1] [15942:13529:8] |
Generators of the group modulo torsion |
j |
10732509742909391891649/212029458971500 |
j-invariant |
L |
5.3961034968468 |
L(r)(E,1)/r! |
Ω |
0.23152747483764 |
Real period |
R |
0.29133170389035 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999953606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20210e1 |
Quadratic twists by: 5 |