Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15372c |
Isogeny class |
Conductor |
15372 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-57420507312 = -1 · 24 · 39 · 72 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,19721] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:189:1] [-13:182:1] |
Generators of the group modulo torsion |
j |
-16384000000/4922883 |
j-invariant |
L |
6.5289578894226 |
L(r)(E,1)/r! |
Ω |
1.0552382087781 |
Real period |
R |
0.51559905582692 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61488bs1 5124a1 107604n1 |
Quadratic twists by: -4 -3 -7 |