Atkin-Lehner |
2- 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290ba |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
84900760839440 = 24 · 5 · 710 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22378,-1204199] |
[a1,a2,a3,a4,a6] |
j |
10533703412961/721644560 |
j-invariant |
L |
3.1362002904374 |
L(r)(E,1)/r! |
Ω |
0.39202503677091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15470o1 |
Quadratic twists by: -7 |