Atkin-Lehner |
3- 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
77025m |
Isogeny class |
Conductor |
77025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-610182421875 = -1 · 32 · 58 · 133 · 79 |
Discriminant |
Eigenvalues |
2 3- 5- -1 0 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-458,37619] |
[a1,a2,a3,a4,a6] |
j |
-27258880/1562067 |
j-invariant |
L |
4.5428342570426 |
L(r)(E,1)/r! |
Ω |
0.75713904292807 |
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 |
77025e1 |
Quadratic twists by: 5 |