Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300o |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-418263750000 = -1 · 24 · 39 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1425,-37375] |
[a1,a2,a3,a4,a6] |
Generators |
[85:675:1] |
Generators of the group modulo torsion |
j |
-1755904/2295 |
j-invariant |
L |
5.3955462396551 |
L(r)(E,1)/r! |
Ω |
0.37048800649006 |
Real period |
R |
0.30340310983633 |
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 |
61200er1 5100g1 3060n1 |
Quadratic twists by: -4 -3 5 |