Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10575q |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-120777075 = -1 · 37 · 52 · 472 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 -4 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,105,-329] |
[a1,a2,a3,a4,a6] |
Generators |
[98:419:8] |
Generators of the group modulo torsion |
j |
7024640/6627 |
j-invariant |
L |
8.3850191485161 |
L(r)(E,1)/r! |
Ω |
1.0180323140785 |
Real period |
R |
1.0295620080717 |
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 |
3525e1 10575t1 |
Quadratic twists by: -3 5 |