Atkin-Lehner |
2- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6364b |
Isogeny class |
Conductor |
6364 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
60690736521102592 = 28 · 375 · 434 |
Discriminant |
Eigenvalues |
2- 3 0 1 -3 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16378720,-25513380412] |
[a1,a2,a3,a4,a6] |
j |
1898119813080763662336000/237073189535557 |
j-invariant |
L |
4.50278093584 |
L(r)(E,1)/r! |
Ω |
0.075046348930667 |
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 |
25456e1 101824b1 57276c1 |
Quadratic twists by: -4 8 -3 |