Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920i |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
87292922662400 = 29 · 52 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180336,-29412760] |
[a1,a2,a3,a4,a6] |
Generators |
[-2620962081099525:-68192195896034:10611741234375] |
Generators of the group modulo torsion |
j |
10767508335368/1449175 |
j-invariant |
L |
10.232001874478 |
L(r)(E,1)/r! |
Ω |
0.23167664385253 |
Real period |
R |
22.082506258881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101920bf2 14560e2 |
Quadratic twists by: -4 -7 |