Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7104a |
Isogeny class |
Conductor |
7104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-79670280192 = -1 · 219 · 3 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9473,-351999] |
[a1,a2,a3,a4,a6] |
Generators |
[225:2976:1] |
Generators of the group modulo torsion |
j |
-358667682625/303918 |
j-invariant |
L |
3.2761289062304 |
L(r)(E,1)/r! |
Ω |
0.241947860511 |
Real period |
R |
3.385160029222 |
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 |
7104u2 222a2 21312j2 |
Quadratic twists by: -4 8 -3 |