Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200el |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-3857868000000 = -1 · 28 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56700,-5197500] |
[a1,a2,a3,a4,a6] |
Generators |
[8850:286875:8] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
6.5030301054914 |
L(r)(E,1)/r! |
Ω |
0.1546923397289 |
Real period |
R |
5.2548094117103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200d1 3528f1 88200ei1 |
Quadratic twists by: -3 5 -7 |