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 |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-9821887543872 = -1 · 26 · 310 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4688,-84898] |
[a1,a2,a3,a4,a6] |
j |
177997500675008/153466992873 |
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 |
75072s1 37536t2 |
Quadratic twists by: -4 8 |