Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194o |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-35030460346 = -1 · 2 · 76 · 533 |
Discriminant |
Eigenvalues |
2- 2 -3 7- -3 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-442,9505] |
[a1,a2,a3,a4,a6] |
Generators |
[230:1057:8] |
Generators of the group modulo torsion |
j |
-81182737/297754 |
j-invariant |
L |
6.4501338607514 |
L(r)(E,1)/r! |
Ω |
1.015484730458 |
Real period |
R |
3.1758891430314 |
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 |
41552bm2 46746t2 129850n2 106a2 |
Quadratic twists by: -4 -3 5 -7 |