Atkin-Lehner |
3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749b |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29877120 |
Modular degree for the optimal curve |
Δ |
-5.4312417718416E+26 |
Discriminant |
Eigenvalues |
2 3+ -1 7+ 1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3466240006,78557325749583] |
[a1,a2,a3,a4,a6] |
Generators |
[12260262078902866:-91574538081338579:352793763496] |
Generators of the group modulo torsion |
j |
-1795102530323910983888896/211684369494348891 |
j-invariant |
L |
7.8275417386943 |
L(r)(E,1)/r! |
Ω |
0.049957766682444 |
Real period |
R |
19.585397472955 |
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 |
86247h1 777b1 |
Quadratic twists by: -3 37 |