Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660d |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
486758160 = 24 · 35 · 5 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-246,1125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:37:1] |
Generators of the group modulo torsion |
j |
103317355264/30422385 |
j-invariant |
L |
4.3880613966255 |
L(r)(E,1)/r! |
Ω |
1.5401626220634 |
Real period |
R |
2.8490896570044 |
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 |
122640co1 91980be1 |
Quadratic twists by: -4 -3 |