Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342f |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-14732467372759626 = -1 · 2 · 37 · 76 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-615204,-185665838] |
[a1,a2,a3,a4,a6] |
Generators |
[1177844950:113331455257:125000] |
Generators of the group modulo torsion |
j |
-300238092661681/171774906 |
j-invariant |
L |
4.7652302378818 |
L(r)(E,1)/r! |
Ω |
0.085231441835181 |
Real period |
R |
13.977324961534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9114r2 558d2 |
Quadratic twists by: -3 -7 |