Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800bh |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
905897300000000 = 28 · 58 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40833,2812963] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:1882:1] [-117:2450:1] |
Generators of the group modulo torsion |
j |
640000/77 |
j-invariant |
L |
8.3362790550248 |
L(r)(E,1)/r! |
Ω |
0.48098588914282 |
Real period |
R |
0.36107604030147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107800cb1 15400k1 |
Quadratic twists by: 5 -7 |