Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450x |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4080375000000 = -1 · 26 · 34 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1950,-103500] |
[a1,a2,a3,a4,a6] |
Generators |
[69:276:1] |
Generators of the group modulo torsion |
j |
-420189749/2089152 |
j-invariant |
L |
2.2983164164727 |
L(r)(E,1)/r! |
Ω |
0.32437062086829 |
Real period |
R |
3.5427320920533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60450dc1 |
Quadratic twists by: 5 |