Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7215b |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
468506025 = 34 · 52 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-223,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[736:19612:1] |
Generators of the group modulo torsion |
j |
1235030650489/468506025 |
j-invariant |
L |
3.7014836228298 |
L(r)(E,1)/r! |
Ω |
1.2747093924438 |
Real period |
R |
2.9037862627916 |
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 |
115440cj2 21645l2 36075v2 93795k2 |
Quadratic twists by: -4 -3 5 13 |