Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640co |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
922861486181250000 = 24 · 35 · 58 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3386951,2397598674] |
[a1,a2,a3,a4,a6] |
Generators |
[1195:-7623:1] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
7.3200924747633 |
L(r)(E,1)/r! |
Ω |
0.27194477538197 |
Real period |
R |
0.89725232779507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
840d1 |
Quadratic twists by: -11 |