Atkin-Lehner |
2+ 3+ 5- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290a |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
76320 |
Modular degree for the optimal curve |
Δ |
-5986164000 = -1 · 25 · 3 · 53 · 233 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26227,1623949] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-49:1] |
Generators of the group modulo torsion |
j |
-1995241338374763961/5986164000 |
j-invariant |
L |
3.7429129755231 |
L(r)(E,1)/r! |
Ω |
1.1717385523288 |
Real period |
R |
1.0647747793465 |
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 |
84870z1 |
Quadratic twists by: -3 |