Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576r |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
113627834892288 = 214 · 36 · 194 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103992,12932208] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1026:1] |
Generators of the group modulo torsion |
j |
30364611759131833/27741170628 |
j-invariant |
L |
4.8359438466933 |
L(r)(E,1)/r! |
Ω |
0.58839655882984 |
Real period |
R |
1.0273564177216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322c1 |
Quadratic twists by: -4 |