Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35040d |
Isogeny class |
Conductor |
35040 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
3729447360000 = 29 · 37 · 54 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23936,-1430340] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:54:1] [199:1314:1] |
Generators of the group modulo torsion |
j |
2962283527425032/7284076875 |
j-invariant |
L |
9.0833292696095 |
L(r)(E,1)/r! |
Ω |
0.38388339135224 |
Real period |
R |
3.3802412303286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35040j2 70080i2 105120x2 |
Quadratic twists by: -4 8 -3 |