Atkin-Lehner |
3+ 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70725a |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
6176281640625 = 36 · 58 · 232 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16525,802000] |
[a1,a2,a3,a4,a6] |
Generators |
[64:76:1] |
Generators of the group modulo torsion |
j |
31942518433489/395282025 |
j-invariant |
L |
7.2381751406173 |
L(r)(E,1)/r! |
Ω |
0.75721940198959 |
Real period |
R |
2.3897218965165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14145d1 |
Quadratic twists by: 5 |