Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472bp |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
37417408 = 26 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ -1 4 7- -2 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-182] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:85:8] |
Generators of the group modulo torsion |
j |
18496/7 |
j-invariant |
L |
8.6763496900937 |
L(r)(E,1)/r! |
Ω |
1.5730689809702 |
Real period |
R |
1.8385186080325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998967266 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472t1 64736v1 129472f1 |
Quadratic twists by: -4 8 17 |