Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
3108h |
Isogeny class |
Conductor |
3108 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
12792528 = 24 · 32 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,-88] |
[a1,a2,a3,a4,a6] |
j |
1594753024/799533 |
j-invariant |
L |
3.5950908830544 |
L(r)(E,1)/r! |
Ω |
1.7975454415272 |
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 |
12432bb1 49728bg1 9324f1 77700e1 |
Quadratic twists by: -4 8 -3 5 |