Atkin-Lehner |
2- 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660k |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4512 |
Modular degree for the optimal curve |
Δ |
122640 = 24 · 3 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 -2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70,-203] |
[a1,a2,a3,a4,a6] |
j |
2404846336/7665 |
j-invariant |
L |
1.648893008609 |
L(r)(E,1)/r! |
Ω |
1.6488930086092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640cx1 91980s1 |
Quadratic twists by: -4 -3 |