Atkin-Lehner |
2- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350u |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
88686080000 = 212 · 54 · 73 · 101 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 -4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1138,-3708] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:30:1] [-28:94:1] |
Generators of the group modulo torsion |
j |
260792040625/141897728 |
j-invariant |
L |
9.1871291635393 |
L(r)(E,1)/r! |
Ω |
0.8769915563834 |
Real period |
R |
0.87297772867828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35350b1 |
Quadratic twists by: 5 |