Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240bh |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-136815430382484480 = -1 · 210 · 38 · 5 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120237,7693022] |
[a1,a2,a3,a4,a6] |
Generators |
[59:3872:1] |
Generators of the group modulo torsion |
j |
257519797652156/183276843255 |
j-invariant |
L |
4.5897459426449 |
L(r)(E,1)/r! |
Ω |
0.20796602170584 |
Real period |
R |
1.379355719294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080f3 |
Quadratic twists by: -3 |