Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600br |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-14733619200 = -1 · 212 · 33 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,587,-2243] |
[a1,a2,a3,a4,a6] |
Generators |
[2380:15549:125] |
Generators of the group modulo torsion |
j |
218071040/143883 |
j-invariant |
L |
6.6138054791535 |
L(r)(E,1)/r! |
Ω |
0.7111168785389 |
Real period |
R |
4.6502942608069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5475g1 87600ct1 |
Quadratic twists by: -4 5 |