Atkin-Lehner |
5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10325f |
Isogeny class |
Conductor |
10325 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3720 |
Modular degree for the optimal curve |
Δ |
898533125 = 54 · 7 · 593 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-383,-2631] |
[a1,a2,a3,a4,a6] |
j |
9967206400/1437653 |
j-invariant |
L |
1.0893402476226 |
L(r)(E,1)/r! |
Ω |
1.0893402476226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92925bf1 10325a1 72275n1 |
Quadratic twists by: -3 5 -7 |