Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700be |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-223776000 = -1 · 28 · 33 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,132,468] |
[a1,a2,a3,a4,a6] |
Generators |
[3:30:1] |
Generators of the group modulo torsion |
j |
7888624/6993 |
j-invariant |
L |
8.0661876330513 |
L(r)(E,1)/r! |
Ω |
1.1524700306155 |
Real period |
R |
1.1665072146962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77700k1 |
Quadratic twists by: 5 |