Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bg |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-101351004634800 = -1 · 24 · 37 · 52 · 415 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 -2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-213743,37967148] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2214:1] |
Generators of the group modulo torsion |
j |
-2699861305639598080/253377511587 |
j-invariant |
L |
7.2574187700083 |
L(r)(E,1)/r! |
Ω |
0.57183014822224 |
Real period |
R |
0.36261610662668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600g1 49200p1 |
Quadratic twists by: -4 5 |