Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400q |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
98724096000000 = 214 · 36 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21233,-1083663] |
[a1,a2,a3,a4,a6] |
Generators |
[1147:38500:1] |
Generators of the group modulo torsion |
j |
4135597648/385641 |
j-invariant |
L |
7.657718703294 |
L(r)(E,1)/r! |
Ω |
0.39786206725906 |
Real period |
R |
4.8117923985937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025582 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400it2 13800l2 4416n2 |
Quadratic twists by: -4 8 5 |