Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488l |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1.5160790225815E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 -1 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,590331,-68143203] |
[a1,a2,a3,a4,a6] |
Generators |
[15513217108:655435975239:11089567] |
Generators of the group modulo torsion |
j |
57530252288/38336139 |
j-invariant |
L |
6.0263237433212 |
L(r)(E,1)/r! |
Ω |
0.12594146803459 |
Real period |
R |
11.962548629467 |
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 |
55488dx1 6936n1 3264n1 |
Quadratic twists by: -4 8 17 |