Atkin-Lehner |
3+ 11+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84249a |
Isogeny class |
Conductor |
84249 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-215087697 = -1 · 33 · 11 · 232 · 372 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11+ -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,123,442] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-40:1] [3156:21013:64] |
Generators of the group modulo torsion |
j |
7587307125/7966211 |
j-invariant |
L |
12.822520413581 |
L(r)(E,1)/r! |
Ω |
1.1744306785368 |
Real period |
R |
5.4590367265306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84249b2 |
Quadratic twists by: -3 |