Atkin-Lehner |
2+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
77248c |
Isogeny class |
Conductor |
77248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-10368051052544 = -1 · 233 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ -1 3 5 0 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10369,438401] |
[a1,a2,a3,a4,a6] |
Generators |
[1825:77824:1] |
Generators of the group modulo torsion |
j |
-470366406433/39550976 |
j-invariant |
L |
8.0350220063743 |
L(r)(E,1)/r! |
Ω |
0.70764445385583 |
Real period |
R |
2.8386508087238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77248p1 2414c1 |
Quadratic twists by: -4 8 |