Atkin-Lehner |
2- 3+ 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236g |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
362345226768 = 24 · 33 · 7 · 173 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2085,-22451] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:119:1] |
Generators of the group modulo torsion |
j |
2320374816000/838762099 |
j-invariant |
L |
6.4401188414378 |
L(r)(E,1)/r! |
Ω |
0.72779464578301 |
Real period |
R |
1.474802189596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028533 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
124236c2 |
Quadratic twists by: -3 |