Atkin-Lehner |
2+ 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550r |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
495360 |
Modular degree for the optimal curve |
Δ |
-12606116515625000 = -1 · 23 · 59 · 17 · 834 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 -2 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20174,-5286452] |
[a1,a2,a3,a4,a6] |
Generators |
[206208:3398219:729] |
Generators of the group modulo torsion |
j |
464944021723/6454331656 |
j-invariant |
L |
6.2617684809142 |
L(r)(E,1)/r! |
Ω |
0.1958111792593 |
Real period |
R |
7.9946514082416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550bf1 |
Quadratic twists by: 5 |