Atkin-Lehner |
3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30135l |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-20773550478515625 = -1 · 32 · 510 · 78 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56277,8607474] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:3756:1] |
Generators of the group modulo torsion |
j |
-167548422911689/176572265625 |
j-invariant |
L |
6.2168875873868 |
L(r)(E,1)/r! |
Ω |
0.348630217924 |
Real period |
R |
0.89161628392492 |
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 |
90405z2 4305f2 |
Quadratic twists by: -3 -7 |