Atkin-Lehner |
2+ 3+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730q |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
-2.1801345398711E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-54072,-224721216] |
[a1,a2,a3,a4,a6] |
Generators |
[73494:7004673:8] |
Generators of the group modulo torsion |
j |
-148615915769209/185308378300800 |
j-invariant |
L |
3.3569642411998 |
L(r)(E,1)/r! |
Ω |
0.097024983208258 |
Real period |
R |
8.6497418817563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1770c1 |
Quadratic twists by: -7 |