Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200x |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-18519655968000000 = -1 · 211 · 314 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-199408,34827188] |
[a1,a2,a3,a4,a6] |
Generators |
[374:-3564:1] |
Generators of the group modulo torsion |
j |
-27403349188178/578739249 |
j-invariant |
L |
5.4769913539775 |
L(r)(E,1)/r! |
Ω |
0.38716218105312 |
Real period |
R |
0.2526161433673 |
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 |
6600u2 52800ei2 39600m2 528c2 |
Quadratic twists by: -4 8 -3 5 |