Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10175a |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-10175 = -1 · 52 · 11 · 37 |
Discriminant |
Eigenvalues |
1 -1 5+ -2 11+ 5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,0,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
-625/407 |
j-invariant |
L |
3.7014607485596 |
L(r)(E,1)/r! |
Ω |
1.8317218538372 |
Real period |
R |
2.0207548110024 |
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 |
91575bg1 10175l1 111925j1 |
Quadratic twists by: -3 5 -11 |