Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560m |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
35577057600 = 26 · 33 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1617,23324] |
[a1,a2,a3,a4,a6] |
Generators |
[35:98:1] |
Generators of the group modulo torsion |
j |
2299968/175 |
j-invariant |
L |
7.1842328624914 |
L(r)(E,1)/r! |
Ω |
1.1346593964703 |
Real period |
R |
0.79145258092909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560cm1 70560cd1 10080b1 |
Quadratic twists by: -4 -3 -7 |