Atkin-Lehner |
5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109025m |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
715774677734375 = 510 · 77 · 89 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1766680,-903383428] |
[a1,a2,a3,a4,a6] |
Generators |
[-95855:51182:125] |
Generators of the group modulo torsion |
j |
530773065225/623 |
j-invariant |
L |
3.7745185256442 |
L(r)(E,1)/r! |
Ω |
0.13095139562917 |
Real period |
R |
7.2059532174313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109025t1 15575b1 |
Quadratic twists by: 5 -7 |