Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370b |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10813983320507400 = 23 · 32 · 52 · 114 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-198693,33637797] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2082:1] |
Generators of the group modulo torsion |
j |
35940267099001/448014600 |
j-invariant |
L |
2.1111980982644 |
L(r)(E,1)/r! |
Ω |
0.4063808551012 |
Real period |
R |
0.64939024278371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610v2 |
Quadratic twists by: 17 |