Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cp |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
637346650500 = 22 · 33 · 53 · 75 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47093,-3952969] |
[a1,a2,a3,a4,a6] |
Generators |
[-1010:571:8] |
Generators of the group modulo torsion |
j |
92402420544848357/5098773204 |
j-invariant |
L |
7.0098400628645 |
L(r)(E,1)/r! |
Ω |
0.32408718247129 |
Real period |
R |
2.1629488736386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55650bg1 |
Quadratic twists by: 5 |