Atkin-Lehner |
2- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
5110f |
Isogeny class |
Conductor |
5110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-167444480 = -1 · 216 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -6 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70,-668] |
[a1,a2,a3,a4,a6] |
Generators |
[12:10:1] |
Generators of the group modulo torsion |
j |
-37966934881/167444480 |
j-invariant |
L |
6.4116898172536 |
L(r)(E,1)/r! |
Ω |
0.74954663067704 |
Real period |
R |
0.53463066496128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40880bb1 45990p1 25550h1 35770y1 |
Quadratic twists by: -4 -3 5 -7 |