Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080b |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
67276800 = 212 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2441,47241] |
[a1,a2,a3,a4,a6] |
Generators |
[31:20:1] |
Generators of the group modulo torsion |
j |
392866508224/16425 |
j-invariant |
L |
5.7728111927522 |
L(r)(E,1)/r! |
Ω |
1.8365852197078 |
Real period |
R |
0.7858076949374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080s1 35040h1 |
Quadratic twists by: -4 8 |