Atkin-Lehner |
2- 5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350ca |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-12690485500000000 = -1 · 28 · 59 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5138,-5423969] |
[a1,a2,a3,a4,a6] |
Generators |
[5007:3125:27] |
Generators of the group modulo torsion |
j |
-7680354317/6497528576 |
j-invariant |
L |
14.951694826576 |
L(r)(E,1)/r! |
Ω |
0.18011622274566 |
Real period |
R |
5.188210756395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025798 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350ba1 |
Quadratic twists by: 5 |