Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dl |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
5665646422800000000 = 210 · 33 · 58 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1476151,-680867302] |
[a1,a2,a3,a4,a6] |
Generators |
[8392:756041:1] |
Generators of the group modulo torsion |
j |
564174247447/8985600 |
j-invariant |
L |
5.5716850168258 |
L(r)(E,1)/r! |
Ω |
0.13709959211385 |
Real period |
R |
6.7732817681143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110br1 95550bc1 |
Quadratic twists by: 5 -7 |