Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70805bm |
Isogeny class |
Conductor |
70805 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-121754746670172875 = -1 · 53 · 79 · 176 |
Discriminant |
Eigenvalues |
-2 -3 5- 7- -1 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-99127,-20643198] |
[a1,a2,a3,a4,a6] |
Generators |
[392:857:1] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
1.8589667564189 |
L(r)(E,1)/r! |
Ω |
0.1288588806419 |
Real period |
R |
2.4043961215587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70805u1 245b1 |
Quadratic twists by: -7 17 |