Atkin-Lehner |
2+ 5- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550f |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
346752 |
Modular degree for the optimal curve |
Δ |
-23401692845000 = -1 · 23 · 54 · 372 · 434 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 3 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1883,230141] |
[a1,a2,a3,a4,a6] |
Generators |
[9183:166441:27] |
Generators of the group modulo torsion |
j |
1181040834375/37442708552 |
j-invariant |
L |
9.1940071455181 |
L(r)(E,1)/r! |
Ω |
0.50902647633671 |
Real period |
R |
1.5051619082569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79550l1 |
Quadratic twists by: 5 |