Atkin-Lehner |
3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
103335a |
Isogeny class |
Conductor |
103335 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
836640 |
Modular degree for the optimal curve |
Δ |
-168921917410428075 = -1 · 3 · 52 · 838 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 4 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-381191,92846561] |
[a1,a2,a3,a4,a6] |
j |
-2719744/75 |
j-invariant |
L |
0.64227431901175 |
L(r)(E,1)/r! |
Ω |
0.32113727810465 |
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 |
103335e1 |
Quadratic twists by: -83 |