Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400d |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-110822520000000 = -1 · 29 · 3 · 57 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4008,-514488] |
[a1,a2,a3,a4,a6] |
Generators |
[2337745:-319688182:125] |
Generators of the group modulo torsion |
j |
-890277128/13852815 |
j-invariant |
L |
4.8969661770479 |
L(r)(E,1)/r! |
Ω |
0.25441155794946 |
Real period |
R |
9.6241031989523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400bg2 14880p4 |
Quadratic twists by: -4 5 |