Atkin-Lehner |
2- 3+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30636a |
Isogeny class |
Conductor |
30636 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.3953859216708E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267360615,1682143058574] |
[a1,a2,a3,a4,a6] |
Generators |
[95756572073838610:89161845628150421:9991164692872] |
Generators of the group modulo torsion |
j |
419454394725624777846000/146767394485224241 |
j-invariant |
L |
6.6815113253651 |
L(r)(E,1)/r! |
Ω |
0.088334379407392 |
Real period |
R |
18.909713777889 |
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 |
122544u2 30636b2 |
Quadratic twists by: -4 -3 |