Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992ei |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
23326507008 = 214 · 38 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2460,46384] |
[a1,a2,a3,a4,a6] |
Generators |
[20:72:1] |
Generators of the group modulo torsion |
j |
137842000/1953 |
j-invariant |
L |
7.3949039191186 |
L(r)(E,1)/r! |
Ω |
1.2044356832216 |
Real period |
R |
1.5349312681502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999411864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992da1 31248i1 41664df1 |
Quadratic twists by: -4 8 -3 |