Atkin-Lehner |
2+ 7+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
111034a |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2449440 |
Modular degree for the optimal curve |
Δ |
651218623518232 = 23 · 78 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13954491,20062909710] |
[a1,a2,a3,a4,a6] |
Generators |
[118330290:-58516695:54872] |
Generators of the group modulo torsion |
j |
52129234440660603625/112964632 |
j-invariant |
L |
5.6646561273072 |
L(r)(E,1)/r! |
Ω |
0.33389472645071 |
Real period |
R |
8.4826977827617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027943 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111034c1 |
Quadratic twists by: -7 |