Atkin-Lehner |
2+ 3- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75240q |
Isogeny class |
Conductor |
75240 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
39804311250000 = 24 · 36 · 57 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235002,43847521] |
[a1,a2,a3,a4,a6] |
Generators |
[272:225:1] [-403:8550:1] |
Generators of the group modulo torsion |
j |
123052623197108224/3412578125 |
j-invariant |
L |
10.752767473007 |
L(r)(E,1)/r! |
Ω |
0.60050633152044 |
Real period |
R |
0.63950601282928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360n1 |
Quadratic twists by: -3 |