Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bl |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
76236552000 = 26 · 34 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26378,-1640148] |
[a1,a2,a3,a4,a6] |
Generators |
[348:5586:1] |
Generators of the group modulo torsion |
j |
2156689088/81 |
j-invariant |
L |
5.6905215255409 |
L(r)(E,1)/r! |
Ω |
0.3746180469573 |
Real period |
R |
3.7975490029197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999345354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600dt1 117600hp1 2400q1 |
Quadratic twists by: -4 5 -7 |