Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040b |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
394264576000 = 226 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -3 -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369441,86553505] |
[a1,a2,a3,a4,a6] |
Generators |
[351:8:1] |
Generators of the group modulo torsion |
j |
21272583599722441/1504000 |
j-invariant |
L |
2.8433121098029 |
L(r)(E,1)/r! |
Ω |
0.72034332879721 |
Real period |
R |
1.9735812050557 |
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 |
15040ba1 470b1 75200t1 |
Quadratic twists by: -4 8 5 |