Atkin-Lehner |
5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3325c |
Isogeny class |
Conductor |
3325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-296256201171875 = -1 · 511 · 75 · 192 |
Discriminant |
Eigenvalues |
2 1 5+ 7+ -3 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5258,839269] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:17571:8] |
Generators of the group modulo torsion |
j |
-1029077364736/18960396875 |
j-invariant |
L |
6.9056979190018 |
L(r)(E,1)/r! |
Ω |
0.4603716115357 |
Real period |
R |
3.7500671989558 |
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 |
53200ct1 29925s1 665d1 23275w1 |
Quadratic twists by: -4 -3 5 -7 |