Atkin-Lehner |
2- 3+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180d |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8797553935671600 = -1 · 24 · 310 · 52 · 113 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-213801,38388726] |
[a1,a2,a3,a4,a6] |
Generators |
[438:5346:1] |
Generators of the group modulo torsion |
j |
-67551493811790659584/549847120979475 |
j-invariant |
L |
3.9238042286224 |
L(r)(E,1)/r! |
Ω |
0.41410546688921 |
Real period |
R |
1.5792290218956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720cd1 45540r1 75900z1 |
Quadratic twists by: -4 -3 5 |