Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488hp |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-92207808 = -1 · 26 · 35 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,461] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-99:1] [4:27:1] |
Generators of the group modulo torsion |
j |
3584000/29403 |
j-invariant |
L |
13.335866644331 |
L(r)(E,1)/r! |
Ω |
1.3918248392224 |
Real period |
R |
0.958156965549 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488bs1 25872bv1 103488eu1 |
Quadratic twists by: -4 8 -7 |