Atkin-Lehner |
2- 3- 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35670l |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-111150159189364320 = -1 · 25 · 3 · 5 · 29 · 418 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15370,-16022268] |
[a1,a2,a3,a4,a6] |
Generators |
[738:19566:1] |
Generators of the group modulo torsion |
j |
401553622965336479/111150159189364320 |
j-invariant |
L |
9.8023606078886 |
L(r)(E,1)/r! |
Ω |
0.15672378808335 |
Real period |
R |
6.2545454827027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107010e3 |
Quadratic twists by: -3 |