Atkin-Lehner |
2+ 3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
102942s |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
425984 |
Modular degree for the optimal curve |
Δ |
154921115123712 = 216 · 310 · 72 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14418,-288684] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:297:1] |
Generators of the group modulo torsion |
j |
454703388586273/212511817728 |
j-invariant |
L |
2.8989630770518 |
L(r)(E,1)/r! |
Ω |
0.45584103137341 |
Real period |
R |
1.5898980504391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34314y1 |
Quadratic twists by: -3 |