Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73200cm |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-202383360000000 = -1 · 219 · 34 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7592,-632812] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4800:1] |
Generators of the group modulo torsion |
j |
756058031/3162240 |
j-invariant |
L |
7.088895589991 |
L(r)(E,1)/r! |
Ω |
0.28551737932828 |
Real period |
R |
0.38794133591676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9150a1 14640t1 |
Quadratic twists by: -4 5 |