Atkin-Lehner |
2+ 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050j |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-168238070000000000 = -1 · 210 · 510 · 76 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44917,20082741] |
[a1,a2,a3,a4,a6] |
Generators |
[2699:138488:1] |
Generators of the group modulo torsion |
j |
-641418306895521/10767236480000 |
j-invariant |
L |
3.4511412449367 |
L(r)(E,1)/r! |
Ω |
0.27186260060978 |
Real period |
R |
6.3472159046657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010y1 |
Quadratic twists by: 5 |