Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300p |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-4934418750000 = -1 · 24 · 37 · 58 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -6 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633,107262] |
[a1,a2,a3,a4,a6] |
Generators |
[62:550:1] |
Generators of the group modulo torsion |
j |
-311296/54675 |
j-invariant |
L |
3.7537483611976 |
L(r)(E,1)/r! |
Ω |
0.62820581134715 |
Real period |
R |
2.9876740142374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660bd1 108300bm1 |
Quadratic twists by: 5 -19 |