Atkin-Lehner |
2- 5- 37+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
79550s |
Isogeny class |
Conductor |
79550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
279040 |
Modular degree for the optimal curve |
Δ |
-29433500000000 = -1 · 28 · 59 · 372 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- -4 4 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24555,1509947] |
[a1,a2,a3,a4,a6] |
Generators |
[69:340:1] |
Generators of the group modulo torsion |
j |
-838295060589/15069952 |
j-invariant |
L |
7.660090057186 |
L(r)(E,1)/r! |
Ω |
0.66332473665325 |
Real period |
R |
1.4435030147579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79550g1 |
Quadratic twists by: 5 |