Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bh |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-285829171200 = -1 · 211 · 34 · 52 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1848,39348] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:246:1] |
Generators of the group modulo torsion |
j |
-13639380290/5582601 |
j-invariant |
L |
5.5396567079835 |
L(r)(E,1)/r! |
Ω |
0.9142117100661 |
Real period |
R |
0.25247874967739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600k1 49200s1 |
Quadratic twists by: -4 5 |