Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30450cb |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
49 |
Product of Tamagawa factors cp |
deg |
98784 |
Modular degree for the optimal curve |
Δ |
2063469340800 = 27 · 33 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46333,3818771] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-12:1] |
Generators of the group modulo torsion |
j |
440002913903247865/82538773632 |
j-invariant |
L |
7.475044532524 |
L(r)(E,1)/r! |
Ω |
0.80218041130669 |
Real period |
R |
0.19017159617085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350by1 30450bk1 |
Quadratic twists by: -3 5 |