Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200p |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1583609447418750000 = -1 · 24 · 37 · 58 · 415 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 3 2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5343583,4756580662] |
[a1,a2,a3,a4,a6] |
Generators |
[34734:84050:27] |
Generators of the group modulo torsion |
j |
-2699861305639598080/253377511587 |
j-invariant |
L |
5.9608082300998 |
L(r)(E,1)/r! |
Ω |
0.25573021660174 |
Real period |
R |
1.5539314071701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bm1 49200bg1 |
Quadratic twists by: -4 5 |