Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400m |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
330240 |
Modular degree for the optimal curve |
Δ |
-705307500000000 = -1 · 28 · 38 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97500,-11787500] |
[a1,a2,a3,a4,a6] |
Generators |
[3186:178934:1] |
Generators of the group modulo torsion |
j |
-56243200/387 |
j-invariant |
L |
7.8375140599356 |
L(r)(E,1)/r! |
Ω |
0.13503298946883 |
Real period |
R |
7.2551845391136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800bi1 77400bu1 |
Quadratic twists by: -3 5 |