Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11270g |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-2254000000000 = -1 · 210 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -2 0 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1503,75506] |
[a1,a2,a3,a4,a6] |
Generators |
[55:372:1] |
Generators of the group modulo torsion |
j |
-7655774616889/46000000000 |
j-invariant |
L |
2.2626946121924 |
L(r)(E,1)/r! |
Ω |
0.70838423348656 |
Real period |
R |
0.17745349245594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90160dd1 101430ef1 56350bo1 11270a1 |
Quadratic twists by: -4 -3 5 -7 |