Atkin-Lehner |
3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2325a |
Isogeny class |
Conductor |
2325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7800 |
Modular degree for the optimal curve |
Δ |
-482656376953125 = -1 · 313 · 510 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 2 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8425,1017750] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:124734:125] |
Generators of the group modulo torsion |
j |
6771000575/49424013 |
j-invariant |
L |
3.1698715766092 |
L(r)(E,1)/r! |
Ω |
0.38208403797365 |
Real period |
R |
8.2962679975335 |
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 |
37200db1 6975f1 2325l1 113925cf1 |
Quadratic twists by: -4 -3 5 -7 |