Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936n |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
170919403776 = 28 · 38 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2919,57350] |
[a1,a2,a3,a4,a6] |
Generators |
[613:15120:1] |
Generators of the group modulo torsion |
j |
14738677072/915849 |
j-invariant |
L |
8.1785784195763 |
L(r)(E,1)/r! |
Ω |
1.0001913528893 |
Real period |
R |
4.088506862192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22968f2 15312c2 |
Quadratic twists by: -4 -3 |