Atkin-Lehner |
2+ 5- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15130i |
Isogeny class |
Conductor |
15130 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
360960 |
Modular degree for the optimal curve |
Δ |
9122305032144588800 = 212 · 52 · 175 · 894 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-570527,-80211451] |
[a1,a2,a3,a4,a6] |
Generators |
[28506:586867:27] |
Generators of the group modulo torsion |
j |
20537780490601041431161/9122305032144588800 |
j-invariant |
L |
5.7648506364933 |
L(r)(E,1)/r! |
Ω |
0.18101488501468 |
Real period |
R |
3.1847384462475 |
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 |
121040z1 75650u1 |
Quadratic twists by: -4 5 |