Atkin-Lehner |
2+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008bk |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
330240 |
Modular degree for the optimal curve |
Δ |
-6483089779712 = -1 · 210 · 73 · 13 · 175 |
Discriminant |
Eigenvalues |
2+ 3 2 7- 5 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,296,-122488] |
[a1,a2,a3,a4,a6] |
j |
2800908288/6331142363 |
j-invariant |
L |
10.465796610426 |
L(r)(E,1)/r! |
Ω |
0.34885989991622 |
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 |
99008cl1 12376e1 |
Quadratic twists by: -4 8 |