Atkin-Lehner |
5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10175l |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-158984375 = -1 · 58 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 1 5- 2 11+ -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13,-608] |
[a1,a2,a3,a4,a6] |
Generators |
[27:124:1] |
Generators of the group modulo torsion |
j |
-625/407 |
j-invariant |
L |
3.3019238807624 |
L(r)(E,1)/r! |
Ω |
0.81917091621037 |
Real period |
R |
1.3436039681184 |
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 |
91575cc1 10175a1 111925x1 |
Quadratic twists by: -3 5 -11 |