Atkin-Lehner |
3- 5+ 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
25185d |
Isogeny class |
Conductor |
25185 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
634284225 = 32 · 52 · 232 · 732 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2799,-57203] |
[a1,a2,a3,a4,a6] |
Generators |
[-320931098:142494633:10360232] |
Generators of the group modulo torsion |
j |
2423870120493289/634284225 |
j-invariant |
L |
7.5696341703882 |
L(r)(E,1)/r! |
Ω |
0.65640856401726 |
Real period |
R |
11.531894288614 |
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 |
75555h2 125925i2 |
Quadratic twists by: -3 5 |