Atkin-Lehner |
2- 5- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114700q |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2651040 |
Modular degree for the optimal curve |
Δ |
-1.8393051194519E+19 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 -5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1652333,-843701912] |
[a1,a2,a3,a4,a6] |
Generators |
[8528540674652800859795504990:1460986294876754290808395689283:290069017093307216591000] |
Generators of the group modulo torsion |
j |
-79824588303892480/2942888191123 |
j-invariant |
L |
3.0780087372904 |
L(r)(E,1)/r! |
Ω |
0.06643640748927 |
Real period |
R |
46.33015019344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114700h1 |
Quadratic twists by: 5 |