Atkin-Lehner |
2+ 3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690v |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
44447370570 = 2 · 36 · 5 · 174 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2304,-40770] |
[a1,a2,a3,a4,a6] |
j |
1855878893569/60970330 |
j-invariant |
L |
2.7618777073489 |
L(r)(E,1)/r! |
Ω |
0.69046956706515 |
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 |
12410j1 |
Quadratic twists by: -3 |