Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32634bj |
Isogeny class |
Conductor |
32634 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-621353933582508 = -1 · 22 · 39 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21085,-227825] |
[a1,a2,a3,a4,a6] |
Generators |
[478:8675:8] |
Generators of the group modulo torsion |
j |
447697125/268324 |
j-invariant |
L |
8.7132423226729 |
L(r)(E,1)/r! |
Ω |
0.29940571968577 |
Real period |
R |
3.6377237264444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32634b2 4662j2 |
Quadratic twists by: -3 -7 |