Atkin-Lehner |
2- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33418bc |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
12995057152 = 29 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11- -3 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-589,195] |
[a1,a2,a3,a4,a6] |
Generators |
[41:196:1] [-21:72:1] |
Generators of the group modulo torsion |
j |
9412901617/5412352 |
j-invariant |
L |
9.3175342522028 |
L(r)(E,1)/r! |
Ω |
1.0762303036053 |
Real period |
R |
0.16032528541365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418bi1 |
Quadratic twists by: -7 |