Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800cf |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
2370000 = 24 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 -5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [8:14:1] |
Generators of the group modulo torsion |
j |
409600/237 |
j-invariant |
L |
9.7255255756099 |
L(r)(E,1)/r! |
Ω |
2.1861138575162 |
Real period |
R |
4.4487735814473 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700o1 94800db1 |
Quadratic twists by: -4 5 |