Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
47700i |
Isogeny class |
Conductor |
47700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
96592500000000 = 28 · 36 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -1 -2 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-210000,-37037500] |
[a1,a2,a3,a4,a6] |
j |
561971200/53 |
j-invariant |
L |
1.3381304057135 |
L(r)(E,1)/r! |
Ω |
0.22302173426672 |
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 |
5300c1 47700l1 |
Quadratic twists by: -3 5 |