Atkin-Lehner |
2+ 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080bh |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
380 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-3.4752547672474E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 0 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,761535,-122291937] |
[a1,a2,a3,a4,a6] |
Generators |
[3051:174960:1] [201:6240:1] |
Generators of the group modulo torsion |
j |
372634293269111902/265140897159375 |
j-invariant |
L |
11.564910248515 |
L(r)(E,1)/r! |
Ω |
0.11636806062073 |
Real period |
R |
0.26153202327027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080bz1 8760e1 |
Quadratic twists by: -4 8 |