Atkin-Lehner |
5- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7315g |
Isogeny class |
Conductor |
7315 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-41233082275 = -1 · 52 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
1 0 5- 7- 11- 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-869,14100] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:162:1] |
Generators of the group modulo torsion |
j |
-72621318248361/41233082275 |
j-invariant |
L |
5.2466902905744 |
L(r)(E,1)/r! |
Ω |
1.0628788352727 |
Real period |
R |
0.82271690125246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040bu2 65835s2 36575f2 51205j2 |
Quadratic twists by: -4 -3 5 -7 |