Atkin-Lehner |
2- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69454v |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
2.4333765985645E+19 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1108786,381139617] |
[a1,a2,a3,a4,a6] |
j |
85096329293877049/13735776518926 |
j-invariant |
L |
2.8489701421535 |
L(r)(E,1)/r! |
Ω |
0.20349786862335 |
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 |
6314b1 |
Quadratic twists by: -11 |