Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bw |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-239865600000000 = -1 · 214 · 3 · 58 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14187,369531] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-1012:1] |
Generators of the group modulo torsion |
j |
20210333452919/15351398400 |
j-invariant |
L |
9.3388891260934 |
L(r)(E,1)/r! |
Ω |
0.35607214316816 |
Real period |
R |
0.93669712980263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090r1 |
Quadratic twists by: 5 |