Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800bl |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-34496000000 = -1 · 212 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 11- 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,-2000] |
[a1,a2,a3,a4,a6] |
Generators |
[9:77:1] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
3.3798616555449 |
L(r)(E,1)/r! |
Ω |
0.67402123932036 |
Real period |
R |
2.5072367592993 |
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 |
1925d1 123200eh1 1232l1 |
Quadratic twists by: -4 8 5 |