Atkin-Lehner |
2- 3+ 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28290p |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30624 |
Modular degree for the optimal curve |
Δ |
-41762405250 = -1 · 2 · 311 · 53 · 23 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-155,-9925] |
[a1,a2,a3,a4,a6] |
Generators |
[454:3049:8] |
Generators of the group modulo torsion |
j |
-411996867121/41762405250 |
j-invariant |
L |
6.9719236202124 |
L(r)(E,1)/r! |
Ω |
0.50653000345874 |
Real period |
R |
4.5880293846405 |
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 |
84870g1 |
Quadratic twists by: -3 |