Atkin-Lehner |
3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175v |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
26650560 |
Modular degree for the optimal curve |
Δ |
-5.3467956562505E+26 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -2 -6 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-77191458,1142701038119] |
[a1,a2,a3,a4,a6] |
j |
-5208724728884055961600/54751187520005346027 |
j-invariant |
L |
3.0141257895702 |
L(r)(E,1)/r! |
Ω |
0.044325379258937 |
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 |
105525l1 35175s1 |
Quadratic twists by: -3 5 |