Atkin-Lehner |
2+ 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
102256c |
Isogeny class |
Conductor |
102256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-12940385499661312 = -1 · 210 · 712 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19739,-5576198] |
[a1,a2,a3,a4,a6] |
Generators |
[399742658177247073516631564508878:-5989567428710349089936125984074810:1197826428851475783044463236627] |
Generators of the group modulo torsion |
j |
-830613903885252/12637095214513 |
j-invariant |
L |
7.9462546931487 |
L(r)(E,1)/r! |
Ω |
0.17101516040414 |
Real period |
R |
46.465206189925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51128e3 |
Quadratic twists by: -4 |