Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600m |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
6706800000000 = 210 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6208,-139088] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:150:1] [-47:216:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
6.7742445250389 |
L(r)(E,1)/r! |
Ω |
0.54787636892457 |
Real period |
R |
1.0303791313264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13800bc1 110400iv1 82800cc1 27600z1 |
Quadratic twists by: -4 8 -3 5 |