Atkin-Lehner |
3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
195d |
Isogeny class |
Conductor |
195 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84 |
Modular degree for the optimal curve |
Δ |
-24024195 = -1 · 37 · 5 · 133 |
Discriminant |
Eigenvalues |
2 3+ 5- 3 -1 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-190,1101] |
[a1,a2,a3,a4,a6] |
j |
-762549907456/24024195 |
j-invariant |
L |
2.1212032775276 |
L(r)(E,1)/r! |
Ω |
2.1212032775276 |
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 |
3120y1 12480be1 585e1 975i1 |
Quadratic twists by: -4 8 -3 5 |