Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800o |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2212500000000 = 28 · 3 · 511 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -3 5 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6033,163563] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1875:8] |
Generators of the group modulo torsion |
j |
6072054784/553125 |
j-invariant |
L |
6.1144741991303 |
L(r)(E,1)/r! |
Ω |
0.80053115568663 |
Real period |
R |
1.9095053817668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35400a1 14160c1 |
Quadratic twists by: -4 5 |