Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550i |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-11299191750000 = -1 · 24 · 32 · 56 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2425,167125] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:475:1] |
Generators of the group modulo torsion |
j |
-100999381393/723148272 |
j-invariant |
L |
3.1204068567401 |
L(r)(E,1)/r! |
Ω |
0.61667611221538 |
Real period |
R |
0.21083507174794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400ga1 34650di1 462f1 80850ck1 |
Quadratic twists by: -4 -3 5 -7 |