Atkin-Lehner |
2+ 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
95942m |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1095552 |
Modular degree for the optimal curve |
Δ |
2142983326623832 = 23 · 72 · 11 · 896 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- 11+ 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92773,10669021] |
[a1,a2,a3,a4,a6] |
Generators |
[622:-16153:8] |
Generators of the group modulo torsion |
j |
1802167141825173753/43734353604568 |
j-invariant |
L |
2.2470527058811 |
L(r)(E,1)/r! |
Ω |
0.46253109900725 |
Real period |
R |
0.80969428392235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999281997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942a1 |
Quadratic twists by: -7 |