Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
93138q |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
24858290786304 = 212 · 3 · 196 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8672,196910] |
[a1,a2,a3,a4,a6] |
Generators |
[-604049:8947941:12167] |
Generators of the group modulo torsion |
j |
1532808577/528384 |
j-invariant |
L |
5.5719725260171 |
L(r)(E,1)/r! |
Ω |
0.61755087955045 |
Real period |
R |
9.0226938371274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258d1 |
Quadratic twists by: -19 |