Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ek |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
23701224016576512 = 222 · 312 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-106860,11221072] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:4608:1] |
Generators of the group modulo torsion |
j |
706157817625/124023312 |
j-invariant |
L |
3.3682942723924 |
L(r)(E,1)/r! |
Ω |
0.36146324422646 |
Real period |
R |
2.3296243410997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999517297 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992db1 31248bi1 41664dg1 |
Quadratic twists by: -4 8 -3 |