Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
61936o |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-26742336650215424 = -1 · 223 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 3 2 7- 3 -5 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104419,15184610] |
[a1,a2,a3,a4,a6] |
Generators |
[6411:52480:27] |
Generators of the group modulo torsion |
j |
-261284780457/55494656 |
j-invariant |
L |
13.157965152064 |
L(r)(E,1)/r! |
Ω |
0.35931183939831 |
Real period |
R |
4.5774880303906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742h1 8848f1 |
Quadratic twists by: -4 -7 |