Atkin-Lehner |
2- 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
79550l |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1733760 |
Modular degree for the optimal curve |
Δ |
-365651450703125000 = -1 · 23 · 510 · 372 · 434 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,47070,28814697] |
[a1,a2,a3,a4,a6] |
Generators |
[-245:1713:1] |
Generators of the group modulo torsion |
j |
1181040834375/37442708552 |
j-invariant |
L |
6.0687437936965 |
L(r)(E,1)/r! |
Ω |
0.22764356068721 |
Real period |
R |
1.1107905884782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550f1 |
Quadratic twists by: 5 |