Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400a |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4222400400000000 = 210 · 34 · 58 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1083008,-433433988] |
[a1,a2,a3,a4,a6] |
Generators |
[-77570702255:-9405877382:128787625] |
Generators of the group modulo torsion |
j |
8780093172522724/263900025 |
j-invariant |
L |
4.1610908261924 |
L(r)(E,1)/r! |
Ω |
0.14799341381138 |
Real period |
R |
14.058364892831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22800bc4 91200do4 34200ci4 2280i3 |
Quadratic twists by: -4 8 -3 5 |