Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ed |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1188000 |
Modular degree for the optimal curve |
Δ |
7500123750 = 2 · 3 · 54 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1353651,606076048] |
[a1,a2,a3,a4,a6] |
Generators |
[652:551:1] |
Generators of the group modulo torsion |
j |
3730569358698025/102 |
j-invariant |
L |
6.3910303304923 |
L(r)(E,1)/r! |
Ω |
0.69569695093786 |
Real period |
R |
3.0621716131051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999484202 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950fd2 2550f1 |
Quadratic twists by: 5 -7 |