Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10650c |
Isogeny class |
Conductor |
10650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-35943750000 = -1 · 24 · 34 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,625,7125] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:65:1] |
Generators of the group modulo torsion |
j |
1723683599/2300400 |
j-invariant |
L |
3.1743020440624 |
L(r)(E,1)/r! |
Ω |
0.78078027754974 |
Real period |
R |
1.0163877518859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85200dh1 31950co1 2130o1 |
Quadratic twists by: -4 -3 5 |