Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cs |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1023369210601930752 = -1 · 237 · 3 · 72 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27792,-48694848] |
[a1,a2,a3,a4,a6] |
j |
-11828855157217/5098897932288 |
j-invariant |
L |
1.4926145781154 |
L(r)(E,1)/r! |
Ω |
0.12438455300815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bw1 87024de1 |
Quadratic twists by: -4 -7 |