Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960bq |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2340041011200 = -1 · 212 · 312 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 1 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2592048,-1606248272] |
[a1,a2,a3,a4,a6] |
j |
-645008376471556096/783675 |
j-invariant |
L |
2.1417131333099 |
L(r)(E,1)/r! |
Ω |
0.05949203148085 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1935g1 123840gc1 10320bi1 |
Quadratic twists by: -4 8 -3 |