Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75840bf |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-1.258094592E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1037375,-354390625] |
[a1,a2,a3,a4,a6] |
Generators |
[6875:576000:1] |
Generators of the group modulo torsion |
j |
470967245655003791/479925000000000 |
j-invariant |
L |
9.7672026728488 |
L(r)(E,1)/r! |
Ω |
0.10081878004253 |
Real period |
R |
0.44035819285012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75840bv1 2370g1 |
Quadratic twists by: -4 8 |