Atkin-Lehner |
2+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
814a |
Isogeny class |
Conductor |
814 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-393976 = -1 · 23 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -3 2 11- 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5,30] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] |
Generators of the group modulo torsion |
j |
18191447/393976 |
j-invariant |
L |
1.1895559608869 |
L(r)(E,1)/r! |
Ω |
2.2458764703551 |
Real period |
R |
1.5889867184442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6512c1 26048a1 7326j1 20350v1 |
Quadratic twists by: -4 8 -3 5 |