Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
12100g |
Isogeny class |
Conductor |
12100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
235794769100000000 = 28 · 58 · 119 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21478508,38320869512] |
[a1,a2,a3,a4,a6] |
Generators |
[1272249654:-204115625:474552] |
Generators of the group modulo torsion |
j |
154639330142416/33275 |
j-invariant |
L |
5.642531348403 |
L(r)(E,1)/r! |
Ω |
0.24844778951161 |
Real period |
R |
11.355567621461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48400cp4 108900ct4 2420g4 1100b4 |
Quadratic twists by: -4 -3 5 -11 |