Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616dv |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-238436352 = -1 · 214 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,-742] |
[a1,a2,a3,a4,a6] |
j |
189/44 |
j-invariant |
L |
3.3128257774105 |
L(r)(E,1)/r! |
Ω |
0.82820644037377 |
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 |
9702bg1 77616dk1 77616cz1 |
Quadratic twists by: -4 -3 -7 |