Atkin-Lehner |
3+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35475c |
Isogeny class |
Conductor |
35475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-164626171875 = -1 · 34 · 58 · 112 · 43 |
Discriminant |
Eigenvalues |
2 3+ 5- 4 11+ -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4708,127443] |
[a1,a2,a3,a4,a6] |
j |
-29550530560/421443 |
j-invariant |
L |
4.0943711414591 |
L(r)(E,1)/r! |
Ω |
1.0235927853676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425bb1 35475g1 |
Quadratic twists by: -3 5 |