Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800be |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-3187428457248000000 = -1 · 211 · 35 · 56 · 75 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-521808,168777612] |
[a1,a2,a3,a4,a6] |
Generators |
[437:4900:1] |
Generators of the group modulo torsion |
j |
-491028574078226/99607139289 |
j-invariant |
L |
5.891787185282 |
L(r)(E,1)/r! |
Ω |
0.24155587764598 |
Real period |
R |
2.4390990627366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4872e1 |
Quadratic twists by: 5 |