Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bv |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-738355520000000000 = -1 · 215 · 510 · 74 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215208,-56371088] |
[a1,a2,a3,a4,a6] |
Generators |
[948:-24304:1] |
Generators of the group modulo torsion |
j |
-27557573425/18458888 |
j-invariant |
L |
5.348708090787 |
L(r)(E,1)/r! |
Ω |
0.10761180403902 |
Real period |
R |
1.5532415735895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850f1 86800ci1 |
Quadratic twists by: -4 5 |