Atkin-Lehner |
3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7215j |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
301094506805625 = 32 · 54 · 134 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34820,-2360313] |
[a1,a2,a3,a4,a6] |
Generators |
[954:28383:1] |
Generators of the group modulo torsion |
j |
4668859361349218881/301094506805625 |
j-invariant |
L |
3.1657120415739 |
L(r)(E,1)/r! |
Ω |
0.35091012431555 |
Real period |
R |
1.1276790772811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115440cd4 21645h4 36075a4 93795p4 |
Quadratic twists by: -4 -3 5 13 |