Atkin-Lehner |
3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74415i |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
753984 |
Modular degree for the optimal curve |
Δ |
58143276292446675 = 37 · 52 · 1110 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- -3 11- 0 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110113,-7959019] |
[a1,a2,a3,a4,a6] |
j |
5692551601/2241675 |
j-invariant |
L |
3.7951120309051 |
L(r)(E,1)/r! |
Ω |
0.27107943197366 |
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 |
74415l1 |
Quadratic twists by: -11 |