Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bp |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-4707289653974138880 = -1 · 240 · 34 · 5 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2707336,1718671600] |
[a1,a2,a3,a4,a6] |
j |
-535784812955841646729/1149240638177280 |
j-invariant |
L |
0.97798291103263 |
L(r)(E,1)/r! |
Ω |
0.24449572205374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230p1 |
Quadratic twists by: -4 |