Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ch |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2406521626951680 = 219 · 33 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84385,9163297] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:476:1] |
Generators of the group modulo torsion |
j |
253503932606569/9180151470 |
j-invariant |
L |
6.790526377518 |
L(r)(E,1)/r! |
Ω |
0.45567529954442 |
Real period |
R |
2.4836860828519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999688548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jv2 3570j2 |
Quadratic twists by: -4 8 |