Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bv |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-7255036096 = -1 · 26 · 7 · 113 · 233 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,483,-529] |
[a1,a2,a3,a4,a6] |
Generators |
[2:21:1] |
Generators of the group modulo torsion |
j |
194305753088/113359939 |
j-invariant |
L |
7.2936658166103 |
L(r)(E,1)/r! |
Ω |
0.78129669888445 |
Real period |
R |
3.1117780742727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344cz2 1771c2 |
Quadratic twists by: -4 8 |