Atkin-Lehner |
2- 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910cc |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-5499620154000 = -1 · 24 · 32 · 53 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2451,-122319] |
[a1,a2,a3,a4,a6] |
j |
-282475249/954000 |
j-invariant |
L |
7.4874783684866 |
L(r)(E,1)/r! |
Ω |
0.31197826347677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910ca1 |
Quadratic twists by: -7 |