Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40425w |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
296727368347265625 = 32 · 58 · 78 · 114 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-330775,-68510000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2122:7529:8] |
Generators of the group modulo torsion |
j |
2177286259681/161417025 |
j-invariant |
L |
4.7646288012476 |
L(r)(E,1)/r! |
Ω |
0.20000722741624 |
Real period |
R |
2.9777853923084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121275dh2 8085p2 5775u2 |
Quadratic twists by: -3 5 -7 |