Atkin-Lehner |
2- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
75152k |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
772921442664448 = 215 · 74 · 115 · 61 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11+ -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83952,-9238592] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:266:1] |
Generators of the group modulo torsion |
j |
15975780240519793/188701524088 |
j-invariant |
L |
5.8907905630817 |
L(r)(E,1)/r! |
Ω |
0.2806735420332 |
Real period |
R |
2.6235063526462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394i1 |
Quadratic twists by: -4 |