Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bj |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-3978800 = -1 · 24 · 52 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,98] |
[a1,a2,a3,a4,a6] |
Generators |
[14:56:1] |
Generators of the group modulo torsion |
j |
81920/9947 |
j-invariant |
L |
8.9854066468705 |
L(r)(E,1)/r! |
Ω |
1.9019061138134 |
Real period |
R |
1.5748072567455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20300b1 81200cb1 |
Quadratic twists by: -4 5 |