Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bv |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1117800000000 = -1 · 29 · 35 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 6 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,65412] |
[a1,a2,a3,a4,a6] |
Generators |
[56:338:1] |
Generators of the group modulo torsion |
j |
-5955080/5589 |
j-invariant |
L |
5.7105927174892 |
L(r)(E,1)/r! |
Ω |
0.79395795749959 |
Real period |
R |
3.5962815559468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200bi1 110400eo1 55200bd1 |
Quadratic twists by: -4 8 5 |