Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010b |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
13177080 = 23 · 34 · 5 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-88,232] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] [22:25:8] |
Generators of the group modulo torsion |
j |
1565539801/268920 |
j-invariant |
L |
6.7298642610078 |
L(r)(E,1)/r! |
Ω |
2.1364813006473 |
Real period |
R |
1.5749878680975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010w1 |
Quadratic twists by: -7 |