Atkin-Lehner |
2+ 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600l |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-213580800 = -1 · 210 · 34 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1688,26148] |
[a1,a2,a3,a4,a6] |
Generators |
[22:12:1] [-8:198:1] |
Generators of the group modulo torsion |
j |
-20790183940/8343 |
j-invariant |
L |
13.18733030201 |
L(r)(E,1)/r! |
Ω |
1.7458785443542 |
Real period |
R |
0.47208790468462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800j1 123600j1 |
Quadratic twists by: -4 5 |