Atkin-Lehner |
3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
4977a |
Isogeny class |
Conductor |
4977 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-668804283 = -1 · 37 · 72 · 792 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,1230] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:33:1] |
Generators of the group modulo torsion |
j |
9938375/917427 |
j-invariant |
L |
2.4220522579109 |
L(r)(E,1)/r! |
Ω |
1.2368795472823 |
Real period |
R |
0.48954893450066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79632ba2 1659a2 124425o2 34839m2 |
Quadratic twists by: -4 -3 5 -7 |