Atkin-Lehner |
2+ 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
26040d |
Isogeny class |
Conductor |
26040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-517484517036001200 = -1 · 24 · 35 · 52 · 78 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-767095,261157732] |
[a1,a2,a3,a4,a6] |
j |
-3119979579729710503936/32342782314750075 |
j-invariant |
L |
2.3574644788673 |
L(r)(E,1)/r! |
Ω |
0.29468305985837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080p1 78120bb1 |
Quadratic twists by: -4 -3 |