Atkin-Lehner |
2+ 3+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992j |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24002975711232 = 214 · 39 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16092,749520] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:1188:1] |
Generators of the group modulo torsion |
j |
1429033968/74431 |
j-invariant |
L |
3.6117003430842 |
L(r)(E,1)/r! |
Ω |
0.66480607822118 |
Real period |
R |
2.7163563739045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996874355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992eg2 15624p2 124992i2 |
Quadratic twists by: -4 8 -3 |