Atkin-Lehner |
2+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120c |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
231552 |
Modular degree for the optimal curve |
Δ |
145463818240 = 211 · 5 · 13 · 1033 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 -1 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104616,12989204] |
[a1,a2,a3,a4,a6] |
j |
61829002974198098/71027255 |
j-invariant |
L |
1.7393688673483 |
L(r)(E,1)/r! |
Ω |
0.86968448699259 |
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 |
53560a1 |
Quadratic twists by: -4 |