Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
10575l |
Isogeny class |
Conductor |
10575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-650461640625 = -1 · 311 · 57 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ -1 2 7 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8105,-281478] |
[a1,a2,a3,a4,a6] |
Generators |
[134:945:1] |
Generators of the group modulo torsion |
j |
-5168743489/57105 |
j-invariant |
L |
2.9815038157815 |
L(r)(E,1)/r! |
Ω |
0.25141986808199 |
Real period |
R |
0.7411665192091 |
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 |
3525a1 2115f1 |
Quadratic twists by: -3 5 |