Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5194a |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
1281504378355712 = 222 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ -3 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54644,4618704] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:3132:1] |
Generators of the group modulo torsion |
j |
3130194403161/222298112 |
j-invariant |
L |
1.8303030929469 |
L(r)(E,1)/r! |
Ω |
0.47409832606095 |
Real period |
R |
1.9302990459321 |
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 |
41552r1 46746bc1 129850bo1 5194e1 |
Quadratic twists by: -4 -3 5 -7 |