Atkin-Lehner |
2- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514x |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2924544 |
Modular degree for the optimal curve |
Δ |
-9.4952578893885E+18 |
Discriminant |
Eigenvalues |
2- -1 3 7- 3 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5345264,-4761194271] |
[a1,a2,a3,a4,a6] |
Generators |
[430305:16390101:125] |
Generators of the group modulo torsion |
j |
-143563142482697477233/80708360371856 |
j-invariant |
L |
10.922801854954 |
L(r)(E,1)/r! |
Ω |
0.049643526513273 |
Real period |
R |
3.4378858840974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12502d1 |
Quadratic twists by: -7 |