Atkin-Lehner |
3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78213j |
Isogeny class |
Conductor |
78213 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380016 |
Modular degree for the optimal curve |
Δ |
1349164575755817 = 3 · 299 · 31 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39124,2394455] |
[a1,a2,a3,a4,a6] |
Generators |
[2100787:-64706669:2197] |
Generators of the group modulo torsion |
j |
456533/93 |
j-invariant |
L |
2.7452152025791 |
L(r)(E,1)/r! |
Ω |
0.45607282417077 |
Real period |
R |
12.03849497992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78213e1 |
Quadratic twists by: 29 |