Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950fc |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4152960 |
Modular degree for the optimal curve |
Δ |
-118727432679687300 = -1 · 22 · 310 · 52 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6531078,6421594311] |
[a1,a2,a3,a4,a6] |
Generators |
[59438:4823959:8] |
Generators of the group modulo torsion |
j |
-25150246105443741612505/96920353207908 |
j-invariant |
L |
8.6865926263918 |
L(r)(E,1)/r! |
Ω |
0.29120457697825 |
Real period |
R |
7.4574657216968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950ec1 124950hf1 |
Quadratic twists by: 5 -7 |