Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360b |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-260840706201600 = -1 · 211 · 3 · 52 · 74 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10536,885036] |
[a1,a2,a3,a4,a6] |
Generators |
[65:686:1] |
Generators of the group modulo torsion |
j |
-63162929599058/127363626075 |
j-invariant |
L |
2.9426408419836 |
L(r)(E,1)/r! |
Ω |
0.49170741920229 |
Real period |
R |
2.9922680918233 |
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 |
48720r3 73080bp3 121800bs3 |
Quadratic twists by: -4 -3 5 |