Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ft |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
185485360693248 = 216 · 37 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1571201,-757522527] |
[a1,a2,a3,a4,a6] |
Generators |
[97073564283458371965:7561011151411893372448:15324139456466625] |
Generators of the group modulo torsion |
j |
55635379958596/24057 |
j-invariant |
L |
8.6233440662305 |
L(r)(E,1)/r! |
Ω |
0.13484709850226 |
Real period |
R |
31.974525776544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488el1 25872bb1 2112z1 |
Quadratic twists by: -4 8 -7 |