Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450be |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-47578125000 = -1 · 23 · 3 · 510 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,374,10148] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1471:1] |
Generators of the group modulo torsion |
j |
371694959/3045000 |
j-invariant |
L |
5.5996823283976 |
L(r)(E,1)/r! |
Ω |
0.82701431993781 |
Real period |
R |
3.3854808758442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350ey1 6090v1 |
Quadratic twists by: -3 5 |