Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600cw |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-94608000000000 = -1 · 213 · 34 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -4 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,-470412] |
[a1,a2,a3,a4,a6] |
Generators |
[108:750:1] |
Generators of the group modulo torsion |
j |
-148877/11826 |
j-invariant |
L |
4.9550363171098 |
L(r)(E,1)/r! |
Ω |
0.26526890518489 |
Real period |
R |
1.1674559816076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911772 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950z1 87600bu1 |
Quadratic twists by: -4 5 |