Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640a |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-64941344455680 = -1 · 210 · 34 · 5 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8576,-490884] |
[a1,a2,a3,a4,a6] |
Generators |
[1973:87516:1] |
Generators of the group modulo torsion |
j |
-51185936876/47647845 |
j-invariant |
L |
5.0827456838972 |
L(r)(E,1)/r! |
Ω |
0.23890255063787 |
Real period |
R |
5.3188482816637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640bt1 |
Quadratic twists by: -11 |