Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11858m |
Isogeny class |
Conductor |
11858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
31289225347072 = 215 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9440,-232448] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:74:1] |
Generators of the group modulo torsion |
j |
1071912625/360448 |
j-invariant |
L |
2.90321960824 |
L(r)(E,1)/r! |
Ω |
0.49747954000708 |
Real period |
R |
1.4589643265524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864ce1 106722gk1 11858c1 1078j1 |
Quadratic twists by: -4 -3 -7 -11 |