Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950by |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
9744580608000 = 218 · 3 · 53 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6605,-144675] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:230:1] |
Generators of the group modulo torsion |
j |
743431192379/227278848 |
j-invariant |
L |
4.507447534917 |
L(r)(E,1)/r! |
Ω |
0.54216804680583 |
Real period |
R |
2.0784365234935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124950je1 124950eg1 |
Quadratic twists by: 5 -7 |