Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100920be |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
1552488867810000 = 24 · 32 · 54 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80175,8556552] |
[a1,a2,a3,a4,a6] |
Generators |
[189:345:1] |
Generators of the group modulo torsion |
j |
5988775936/163125 |
j-invariant |
L |
5.5442369507699 |
L(r)(E,1)/r! |
Ω |
0.47447993991459 |
Real period |
R |
2.9212177849315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900488 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3480k1 |
Quadratic twists by: 29 |