Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200bl |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-3308712300000000 = -1 · 28 · 39 · 58 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31167,1791963] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1107:1] |
Generators of the group modulo torsion |
j |
33480719360/33087123 |
j-invariant |
L |
6.7736059220854 |
L(r)(E,1)/r! |
Ω |
0.29418723055967 |
Real period |
R |
1.2791562686082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600m1 49200a1 |
Quadratic twists by: -4 5 |