Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370v |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-443916865683900 = -1 · 22 · 312 · 52 · 76 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-118997,-15881991] |
[a1,a2,a3,a4,a6] |
Generators |
[41390080:29772901:103823] |
Generators of the group modulo torsion |
j |
-1583978245048009/3773231100 |
j-invariant |
L |
5.3725894700627 |
L(r)(E,1)/r! |
Ω |
0.12850591002318 |
Real period |
R |
10.452027990325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130d1 |
Quadratic twists by: -7 |