Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240m |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
1326425997600000 = 28 · 37 · 55 · 11 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-294601,61422899] |
[a1,a2,a3,a4,a6] |
Generators |
[302:297:1] |
Generators of the group modulo torsion |
j |
11045563355899239424/5181351553125 |
j-invariant |
L |
9.429641689146 |
L(r)(E,1)/r! |
Ω |
0.47527624151323 |
Real period |
R |
2.8343341198357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54120a1 |
Quadratic twists by: -4 |