Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bx |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
45972225000000 = 26 · 33 · 58 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-958088,360558281] |
[a1,a2,a3,a4,a6] |
Generators |
[575:137:1] |
Generators of the group modulo torsion |
j |
6224721371657832889/2942222400 |
j-invariant |
L |
6.5962041252742 |
L(r)(E,1)/r! |
Ω |
0.52149910288322 |
Real period |
R |
2.1080905952073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090p1 |
Quadratic twists by: 5 |