Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4935d |
Isogeny class |
Conductor |
4935 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-31103454375 = -1 · 32 · 54 · 76 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,269,8336] |
[a1,a2,a3,a4,a6] |
Generators |
[11:107:1] |
Generators of the group modulo torsion |
j |
2152185214031/31103454375 |
j-invariant |
L |
2.46190179292 |
L(r)(E,1)/r! |
Ω |
0.86976302351973 |
Real period |
R |
1.4152715891262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960bq1 14805h1 24675a1 34545j1 |
Quadratic twists by: -4 -3 5 -7 |