Atkin-Lehner |
2- 3+ 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274bd |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-4800936 = -1 · 23 · 3 · 7 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -5 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3367,-76603] |
[a1,a2,a3,a4,a6] |
Generators |
[105:808:1] |
Generators of the group modulo torsion |
j |
-4221444878672113/4800936 |
j-invariant |
L |
4.9167824578456 |
L(r)(E,1)/r! |
Ω |
0.31337047686805 |
Real period |
R |
2.6149998275662 |
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 |
87822u1 |
Quadratic twists by: -3 |