Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400cn |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1081125000000 = 26 · 32 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37758,2810988] |
[a1,a2,a3,a4,a6] |
Generators |
[68:750:1] |
Generators of the group modulo torsion |
j |
5953360210624/1081125 |
j-invariant |
L |
9.0907835549191 |
L(r)(E,1)/r! |
Ω |
0.84605797086214 |
Real period |
R |
1.3431088451573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400m1 14880d1 |
Quadratic twists by: -4 5 |