Atkin-Lehner |
2+ 3- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450w |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
715473000000 = 26 · 34 · 56 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4001,88148] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:226:1] [-48:436:1] |
Generators of the group modulo torsion |
j |
453161802241/45790272 |
j-invariant |
L |
10.200017082601 |
L(r)(E,1)/r! |
Ω |
0.87695267109687 |
Real period |
R |
1.4539007373362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4818b1 |
Quadratic twists by: 5 |