Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300bj |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
26816152170000 = 24 · 3 · 54 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21058,1156537] |
[a1,a2,a3,a4,a6] |
Generators |
[108:-361:1] [56:387:1] |
Generators of the group modulo torsion |
j |
2195200/57 |
j-invariant |
L |
9.3669441403371 |
L(r)(E,1)/r! |
Ω |
0.66581667057449 |
Real period |
R |
1.1723627733131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300ci1 5700p1 |
Quadratic twists by: 5 -19 |