Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072bv |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
552570360385536 = 212 · 35 · 176 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23257,-772345] |
[a1,a2,a3,a4,a6] |
j |
339659304787648/134904873141 |
j-invariant |
L |
6.000731938917 |
L(r)(E,1)/r! |
Ω |
0.40004879427519 |
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 |
75072s2 37536t1 |
Quadratic twists by: -4 8 |