Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550ba |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1044839250000 = -1 · 24 · 38 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1950,58500] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-174:1] [-20:310:1] |
Generators of the group modulo torsion |
j |
-1071912625/1364688 |
j-invariant |
L |
6.9270931542194 |
L(r)(E,1)/r! |
Ω |
0.79043796954856 |
Real period |
R |
1.0954517338005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3822bf1 95550dh1 |
Quadratic twists by: 5 -7 |