Atkin-Lehner |
2- 5- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58280g |
Isogeny class |
Conductor |
58280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-7459840 = -1 · 210 · 5 · 31 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- -5 2 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240,1360] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-4:1] [3:26:1] |
Generators of the group modulo torsion |
j |
-1499221444/7285 |
j-invariant |
L |
6.3882606225681 |
L(r)(E,1)/r! |
Ω |
2.3610709087101 |
Real period |
R |
1.3528311663596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116560g1 |
Quadratic twists by: -4 |