Atkin-Lehner |
2+ 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63240f |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1872000 |
Modular degree for the optimal curve |
Δ |
-2489797089843750000 = -1 · 24 · 33 · 513 · 173 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 3 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3610516,2642891341] |
[a1,a2,a3,a4,a6] |
Generators |
[1118:1581:1] |
Generators of the group modulo torsion |
j |
-325320680058510121510144/155612318115234375 |
j-invariant |
L |
5.9721652216527 |
L(r)(E,1)/r! |
Ω |
0.25367442023001 |
Real period |
R |
1.9618865580314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480j1 |
Quadratic twists by: -4 |