Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680ce |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1070530560000 = -1 · 219 · 33 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,948,-48496] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-352:1] |
Generators of the group modulo torsion |
j |
13312053/151250 |
j-invariant |
L |
6.1504183566579 |
L(r)(E,1)/r! |
Ω |
0.42959110562427 |
Real period |
R |
0.89480704385748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680f2 7920v2 31680cd2 |
Quadratic twists by: -4 8 -3 |