Atkin-Lehner |
7- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71393b |
Isogeny class |
Conductor |
71393 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
20166755451857 = 712 · 31 · 47 |
Discriminant |
Eigenvalues |
-1 0 0 7- 0 -6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7090,79944] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:578:1] |
Generators of the group modulo torsion |
j |
334978358625/171414593 |
j-invariant |
L |
2.8551080039648 |
L(r)(E,1)/r! |
Ω |
0.60317534519183 |
Real period |
R |
4.7334627095565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10199a1 |
Quadratic twists by: -7 |