Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728bq |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
40 |
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 |
[2846298:-1697641659:8] |
Generators of the group modulo torsion |
j |
9248445115714516474216000/774671330223 |
j-invariant |
L |
6.5187463535725 |
L(r)(E,1)/r! |
Ω |
0.073822566416856 |
Real period |
R |
8.8302895306532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728w1 24864a2 |
Quadratic twists by: -4 8 |