Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728w |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
49578965134272 = 26 · 310 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 6 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17492088,28164401370] |
[a1,a2,a3,a4,a6] |
Generators |
[43136834:-58928901:17576] |
Generators of the group modulo torsion |
j |
9248445115714516474216000/774671330223 |
j-invariant |
L |
6.3172096871749 |
L(r)(E,1)/r! |
Ω |
0.35377852259546 |
Real period |
R |
8.9281984118869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728bq1 24864y2 |
Quadratic twists by: -4 8 |