Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800q |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-33959079900000000 = -1 · 28 · 314 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54825,-7361750] |
[a1,a2,a3,a4,a6] |
Generators |
[3135:176000:1] |
Generators of the group modulo torsion |
j |
6249886256/11645775 |
j-invariant |
L |
7.6780719345622 |
L(r)(E,1)/r! |
Ω |
0.19262185109224 |
Real period |
R |
4.9826070015391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600z2 25560m2 |
Quadratic twists by: -3 5 |