Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
60600z |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
505440 |
Modular degree for the optimal curve |
Δ |
-579695842800 = -1 · 24 · 315 · 52 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -3 -2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-807468,279008613] |
[a1,a2,a3,a4,a6] |
Generators |
[462:2187:1] |
Generators of the group modulo torsion |
j |
-145559387462984500480/1449239607 |
j-invariant |
L |
8.7039377600732 |
L(r)(E,1)/r! |
Ω |
0.6421281277797 |
Real period |
R |
0.45182767444058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121200d1 60600g1 |
Quadratic twists by: -4 5 |