Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520j |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
196073702927424000 = 29 · 312 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3213240,2217954600] |
[a1,a2,a3,a4,a6] |
Generators |
[21450:907605:8] |
Generators of the group modulo torsion |
j |
60910917333827912/3255076125 |
j-invariant |
L |
4.2593535321174 |
L(r)(E,1)/r! |
Ω |
0.30051199121313 |
Real period |
R |
4.7245519387573 |
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 |
23520v4 47040ge4 70560de4 117600hd4 |
Quadratic twists by: -4 8 -3 5 |