Atkin-Lehner |
2+ 3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270p |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-508615163100000 = -1 · 25 · 32 · 55 · 117 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7863,1054629] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:-894:1] [-546:3903:8] |
Generators of the group modulo torsion |
j |
30342134159/287100000 |
j-invariant |
L |
7.8105987221525 |
L(r)(E,1)/r! |
Ω |
0.38330906237572 |
Real period |
R |
0.50941912749594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570s1 |
Quadratic twists by: -11 |