Atkin-Lehner |
2- 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
83398j |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1098909425824 = -1 · 25 · 79 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -2 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40426,3112087] |
[a1,a2,a3,a4,a6] |
Generators |
[55:1001:1] |
Generators of the group modulo torsion |
j |
-62103840598801/9340576 |
j-invariant |
L |
12.358695920977 |
L(r)(E,1)/r! |
Ω |
0.84183780999136 |
Real period |
R |
0.73403069844631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006512 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11914f1 |
Quadratic twists by: -7 |