Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050a |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-450103759765625000 = -1 · 23 · 518 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-701400,-228683000] |
[a1,a2,a3,a4,a6] |
Generators |
[54634245:2005718015:29791] |
Generators of the group modulo torsion |
j |
-2442316470222480769/28806640625000 |
j-invariant |
L |
2.1443329178886 |
L(r)(E,1)/r! |
Ω |
0.082427658322896 |
Real period |
R |
13.007362828922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400bs2 3010f2 105350e2 |
Quadratic twists by: -4 5 -7 |