Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190b |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-33814831104000 = -1 · 216 · 33 · 53 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -4 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3630,293076] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:594:1] |
Generators of the group modulo torsion |
j |
-195950835257787/1252401152000 |
j-invariant |
L |
2.6093139643686 |
L(r)(E,1)/r! |
Ω |
0.56440105847927 |
Real period |
R |
1.1557889222422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35190bg1 |
Quadratic twists by: -3 |