Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bl |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-16479131284440 = -1 · 23 · 36 · 5 · 117 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8896,-381127] |
[a1,a2,a3,a4,a6] |
Generators |
[119:453:1] |
Generators of the group modulo torsion |
j |
-43949604889/9302040 |
j-invariant |
L |
8.922856077223 |
L(r)(E,1)/r! |
Ω |
0.24303776852365 |
Real period |
R |
3.0594888423131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570c1 |
Quadratic twists by: -11 |