Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720c |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-37975000000 = -1 · 26 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2906,-62000] |
[a1,a2,a3,a4,a6] |
Generators |
[69:266:1] |
Generators of the group modulo torsion |
j |
-42420912573376/593359375 |
j-invariant |
L |
2.3632893926514 |
L(r)(E,1)/r! |
Ω |
0.32484180005751 |
Real period |
R |
3.6376005062051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720u1 69440bc1 |
Quadratic twists by: -4 8 |