Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728x |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2933452283328 = 26 · 314 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12048,-498294] |
[a1,a2,a3,a4,a6] |
Generators |
[270610:3998109:1000] |
Generators of the group modulo torsion |
j |
3022210159912000/45835191927 |
j-invariant |
L |
3.9267649087913 |
L(r)(E,1)/r! |
Ω |
0.45610712269761 |
Real period |
R |
8.6093040722086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bp1 24864x2 |
Quadratic twists by: -4 8 |