Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600dj |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-4871542500000000 = -1 · 28 · 311 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69375,-7793750] |
[a1,a2,a3,a4,a6] |
Generators |
[10254350:236623032:15625] |
Generators of the group modulo torsion |
j |
-20261200/2673 |
j-invariant |
L |
6.2287393527306 |
L(r)(E,1)/r! |
Ω |
0.14601139858838 |
Real period |
R |
10.664816947428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9900s1 13200cl1 39600eq1 |
Quadratic twists by: -4 -3 5 |