Atkin-Lehner |
2+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126514f |
Isogeny class |
Conductor |
126514 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
Δ |
195439385885824 = 27 · 177 · 612 |
Discriminant |
Eigenvalues |
2+ -3 1 -2 -5 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45319,-3640643] |
[a1,a2,a3,a4,a6] |
Generators |
[-133:211:1] [547:11346:1] |
Generators of the group modulo torsion |
j |
2766370771096641/52523350144 |
j-invariant |
L |
4.8020961039605 |
L(r)(E,1)/r! |
Ω |
0.32758938621192 |
Real period |
R |
2.0941268528217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999820915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126514i2 |
Quadratic twists by: 61 |