Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864o |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11652380059686912 = 211 · 312 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1248234771,-16974325574066] |
[a1,a2,a3,a4,a6] |
Generators |
[-452132091573658950659008684804834:19306902373688975949137008305:22165513995604974758841724408] |
Generators of the group modulo torsion |
j |
1224522642327678150914/66339 |
j-invariant |
L |
4.6184588384668 |
L(r)(E,1)/r! |
Ω |
0.025399518609853 |
Real period |
R |
45.458133571387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728bb6 15288bc5 6552m5 |
Quadratic twists by: -4 -3 -7 |