Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282q |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
5534806729186505232 = 24 · 37 · 72 · 119 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64990933677,6377175726701013] |
[a1,a2,a3,a4,a6] |
Generators |
[3945416210658:5341602770109:26730899] |
Generators of the group modulo torsion |
j |
41644198932670714066686473305308625/7592327474878608 |
j-invariant |
L |
4.2279369084507 |
L(r)(E,1)/r! |
Ω |
0.064934089324767 |
Real period |
R |
16.277801661709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
17094y5 |
Quadratic twists by: -3 |