Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200bm |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-62268750000 = -1 · 24 · 35 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 5 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,417,-11412] |
[a1,a2,a3,a4,a6] |
Generators |
[24:114:1] |
Generators of the group modulo torsion |
j |
1280000/9963 |
j-invariant |
L |
7.8605295963561 |
L(r)(E,1)/r! |
Ω |
0.5496951867621 |
Real period |
R |
2.8599594050256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600o1 49200d1 |
Quadratic twists by: -4 5 |