Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730p |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19906560 |
Modular degree for the optimal curve |
Δ |
-1.5530324275611E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21740492,71526225744] |
[a1,a2,a3,a4,a6] |
Generators |
[74430:6533979:8] |
Generators of the group modulo torsion |
j |
-9659254476258043603129/13200557825064960000 |
j-invariant |
L |
4.4574974143942 |
L(r)(E,1)/r! |
Ω |
0.076299188580185 |
Real period |
R |
7.3026618908065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390h1 |
Quadratic twists by: -7 |