Atkin-Lehner |
2- 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810ch |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-89080398367027200 = -1 · 212 · 38 · 52 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-55910,-15258013] |
[a1,a2,a3,a4,a6] |
j |
-164287467238609/757170892800 |
j-invariant |
L |
3.3769506997274 |
L(r)(E,1)/r! |
Ω |
0.14070627915514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430bg1 4830ba1 |
Quadratic twists by: -3 -7 |