Atkin-Lehner |
2- 3+ 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450ce |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
483600000000 = 210 · 3 · 58 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1963,281] |
[a1,a2,a3,a4,a6] |
Generators |
[55:222:1] [-29:198:1] |
Generators of the group modulo torsion |
j |
53540005609/30950400 |
j-invariant |
L |
11.600068528828 |
L(r)(E,1)/r! |
Ω |
0.79131777092057 |
Real period |
R |
1.4659178594377 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090l1 |
Quadratic twists by: 5 |