Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128i |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
961514064 = 24 · 35 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 0 1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-555,4626] |
[a1,a2,a3,a4,a6] |
Generators |
[9:21:1] |
Generators of the group modulo torsion |
j |
493029376/25029 |
j-invariant |
L |
9.4304272196001 |
L(r)(E,1)/r! |
Ω |
1.5465049326222 |
Real period |
R |
0.20326321984967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128c1 |
Quadratic twists by: -7 |