Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440ba |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
714845250000 = 24 · 35 · 56 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2275,8750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:225:1] |
Generators of the group modulo torsion |
j |
81421447161856/44677828125 |
j-invariant |
L |
7.0117922296767 |
L(r)(E,1)/r! |
Ω |
0.78533422587318 |
Real period |
R |
0.29761393296721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880i1 103320o1 |
Quadratic twists by: -4 -3 |