Atkin-Lehner |
2- 5+ 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22940a |
Isogeny class |
Conductor |
22940 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7204274884000000 = -1 · 28 · 56 · 312 · 374 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51916,6098820] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:2294:1] |
Generators of the group modulo torsion |
j |
-60449927370475984/28141698765625 |
j-invariant |
L |
2.959423729936 |
L(r)(E,1)/r! |
Ω |
0.39124576823262 |
Real period |
R |
0.6303420105357 |
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 |
91760g2 114700d2 |
Quadratic twists by: -4 5 |