Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280q |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
3704400 = 24 · 33 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
55296/25 |
j-invariant |
L |
5.6855792922007 |
L(r)(E,1)/r! |
Ω |
1.956812049018 |
Real period |
R |
1.4527658123972 |
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 |
17640i1 35280b1 35280g1 |
Quadratic twists by: -4 -3 -7 |