Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940h |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-14600824439040 = -1 · 28 · 36 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17463,-907058] |
[a1,a2,a3,a4,a6] |
Generators |
[16653:403154:27] |
Generators of the group modulo torsion |
j |
-3155824042576/78236585 |
j-invariant |
L |
4.8610650221578 |
L(r)(E,1)/r! |
Ω |
0.20734986178309 |
Real period |
R |
7.8145941041473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760dw1 2660d1 119700z1 |
Quadratic twists by: -4 -3 5 |