Atkin-Lehner |
2+ 3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984g |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-944976417173255664 = -1 · 24 · 33 · 317 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 1 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87932,-47805525] |
[a1,a2,a3,a4,a6] |
Generators |
[407331:6405065:729] |
Generators of the group modulo torsion |
j |
-4699476931881618688/59061026073328479 |
j-invariant |
L |
6.7735068145603 |
L(r)(E,1)/r! |
Ω |
0.11905680196759 |
Real period |
R |
2.7091937480125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31992k1 |
Quadratic twists by: -4 |