Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376k |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
19808256 = 214 · 3 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1617,-24495] |
[a1,a2,a3,a4,a6] |
Generators |
[1331843:18075680:6859] |
Generators of the group modulo torsion |
j |
28556329552/1209 |
j-invariant |
L |
7.4401016016693 |
L(r)(E,1)/r! |
Ω |
0.75283668477371 |
Real period |
R |
9.8827564499313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77376bn1 9672i1 |
Quadratic twists by: -4 8 |