Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800bz |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1050624000000 = 217 · 33 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35020808,79781264112] |
[a1,a2,a3,a4,a6] |
Generators |
[4506:115962:1] |
Generators of the group modulo torsion |
j |
74220219816682217473/16416 |
j-invariant |
L |
4.7536098306013 |
L(r)(E,1)/r! |
Ω |
0.35605244838958 |
Real period |
R |
6.6754348300395 |
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 |
2850j3 91200hm4 68400fb4 912k3 |
Quadratic twists by: -4 8 -3 5 |