Atkin-Lehner |
2+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070m |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-6198898192564250360 = -1 · 23 · 5 · 1113 · 672 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11- 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-305528,-136313762] |
[a1,a2,a3,a4,a6] |
Generators |
[84467243648:40991779714358:357911] |
Generators of the group modulo torsion |
j |
-1780404196683601/3499116424760 |
j-invariant |
L |
6.2618590898095 |
L(r)(E,1)/r! |
Ω |
0.095465234771707 |
Real period |
R |
16.398270807127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370i1 |
Quadratic twists by: -11 |