Atkin-Lehner |
2+ 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
103334i |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1488960 |
Modular degree for the optimal curve |
Δ |
19339453099206856 = 23 · 75 · 119 · 61 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 11+ 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129190,16605452] |
[a1,a2,a3,a4,a6] |
j |
101129563179/8201816 |
j-invariant |
L |
3.7690972153131 |
L(r)(E,1)/r! |
Ω |
0.37690971970018 |
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 |
103334w1 |
Quadratic twists by: -11 |