Atkin-Lehner |
2+ 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35190d |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-3644062624972800 = -1 · 216 · 39 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 5 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-519144,-143872192] |
[a1,a2,a3,a4,a6] |
j |
-786133687817944467/185137561600 |
j-invariant |
L |
0.71142874919029 |
L(r)(E,1)/r! |
Ω |
0.088928593650161 |
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 |
35190be1 |
Quadratic twists by: -3 |