Atkin-Lehner |
2- 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bg |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-33100909301250000 = -1 · 24 · 38 · 57 · 74 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74088,11668281] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-2095:1] [-75:4137:1] |
Generators of the group modulo torsion |
j |
-2878376935864249/2118458195280 |
j-invariant |
L |
10.844432812267 |
L(r)(E,1)/r! |
Ω |
0.33938443779754 |
Real period |
R |
1.9970775771724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150ba2 8610g2 |
Quadratic twists by: -3 5 |