Atkin-Lehner |
2+ 3+ 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518f |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
301435722 = 2 · 33 · 7 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168,126] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:29:1] [13:-3:1] |
Generators of the group modulo torsion |
j |
19486825371/11164286 |
j-invariant |
L |
7.5478454137951 |
L(r)(E,1)/r! |
Ω |
1.4765072463116 |
Real period |
R |
2.5559798067916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518t2 |
Quadratic twists by: -3 |