Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450l |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-2394685440000000 = -1 · 224 · 32 · 57 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29375,3037125] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1605:1] |
Generators of the group modulo torsion |
j |
-179415687049201/153259868160 |
j-invariant |
L |
3.1569042131092 |
L(r)(E,1)/r! |
Ω |
0.42032445700374 |
Real period |
R |
3.7553182553461 |
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 |
91350ek1 6090ba1 |
Quadratic twists by: -3 5 |