Atkin-Lehner |
2+ 3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63240l |
Isogeny class |
Conductor |
63240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3892472652078000 = -1 · 24 · 32 · 53 · 178 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16215,-3110562] |
[a1,a2,a3,a4,a6] |
Generators |
[140616:1862091:512] |
Generators of the group modulo torsion |
j |
-29470083863074816/243279540754875 |
j-invariant |
L |
10.660062142868 |
L(r)(E,1)/r! |
Ω |
0.18605753598835 |
Real period |
R |
9.5490731639396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126480e1 |
Quadratic twists by: -4 |