Atkin-Lehner |
2+ 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
118296a |
Isogeny class |
Conductor |
118296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-106801777677312 = -1 · 210 · 36 · 312 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 2 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11085,-213154] |
[a1,a2,a3,a4,a6] |
j |
201791709500/143070797 |
j-invariant |
L |
1.3411415914598 |
L(r)(E,1)/r! |
Ω |
0.33528538743015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13144a1 |
Quadratic twists by: -3 |