Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3520w |
Isogeny class |
Conductor |
3520 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-1995486310400000 = -1 · 215 · 55 · 117 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12001,-2212001] |
[a1,a2,a3,a4,a6] |
Generators |
[495:10648:1] |
Generators of the group modulo torsion |
j |
-5833944216008/60897409375 |
j-invariant |
L |
3.8984620180253 |
L(r)(E,1)/r! |
Ω |
0.19798713016838 |
Real period |
R |
0.7032314991365 |
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 |
3520r1 1760d1 31680di1 17600cg1 |
Quadratic twists by: -4 8 -3 5 |