Atkin-Lehner |
3+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175d |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-7008597134296875 = -1 · 35 · 57 · 13 · 734 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 3 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27758,4412918] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:237:1] [61:1715:1] |
Generators of the group modulo torsion |
j |
-151385348878336/448550216595 |
j-invariant |
L |
4.8777262602542 |
L(r)(E,1)/r! |
Ω |
0.36945295511408 |
Real period |
R |
0.82516024583247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14235j1 |
Quadratic twists by: 5 |