Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400ct |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-107520000 = -1 · 213 · 3 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70008,7106388] |
[a1,a2,a3,a4,a6] |
Generators |
[158:120:1] |
Generators of the group modulo torsion |
j |
-14822892630025/42 |
j-invariant |
L |
5.235353741176 |
L(r)(E,1)/r! |
Ω |
1.2420606956619 |
Real period |
R |
0.35125455620253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1050d1 33600fv1 25200fn1 8400bh2 |
Quadratic twists by: -4 8 -3 5 |