Atkin-Lehner |
3+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
29799a |
Isogeny class |
Conductor |
29799 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
-2290938200175933 = -1 · 39 · 75 · 115 · 43 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ 11+ 5 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30508,1039420] |
[a1,a2,a3,a4,a6] |
Generators |
[100:2204:1] |
Generators of the group modulo torsion |
j |
159546388690053/116391718751 |
j-invariant |
L |
2.2699995799369 |
L(r)(E,1)/r! |
Ω |
0.29345032957452 |
Real period |
R |
3.8677748006421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29799b1 |
Quadratic twists by: -3 |