Atkin-Lehner |
2+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670c |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-610304187500 = -1 · 22 · 56 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1837,23017] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:127:1] |
Generators of the group modulo torsion |
j |
5822285399/5187500 |
j-invariant |
L |
2.7079979331631 |
L(r)(E,1)/r! |
Ω |
0.59640385280706 |
Real period |
R |
1.1351359990443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
830a1 |
Quadratic twists by: -7 |