Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29520bh |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
45130878812160000 = 228 · 38 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-704163,227205538] |
[a1,a2,a3,a4,a6] |
Generators |
[-961:4050:1] |
Generators of the group modulo torsion |
j |
12931706531187361/15114240000 |
j-invariant |
L |
5.5557396588033 |
L(r)(E,1)/r! |
Ω |
0.35829500900267 |
Real period |
R |
3.8765120356183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3690d1 118080fa1 9840z1 |
Quadratic twists by: -4 8 -3 |