Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810cc |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.1206029622191E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40453126,-95332156477] |
[a1,a2,a3,a4,a6] |
Generators |
[-1220513607:-12914641253:300763] |
Generators of the group modulo torsion |
j |
155617476551393929129/6633105589454400 |
j-invariant |
L |
7.7855040537337 |
L(r)(E,1)/r! |
Ω |
0.060021033757133 |
Real period |
R |
10.809410699217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990l2 |
Quadratic twists by: -19 |