Atkin-Lehner |
2+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28910q |
Isogeny class |
Conductor |
28910 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-971780740000000 = -1 · 28 · 57 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -1 0 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69753,7241756] |
[a1,a2,a3,a4,a6] |
Generators |
[235:1842:1] [155:322:1] |
Generators of the group modulo torsion |
j |
-319018004775289/8260000000 |
j-invariant |
L |
4.7944381021475 |
L(r)(E,1)/r! |
Ω |
0.49393900307947 |
Real period |
R |
0.17333105014185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4130a1 |
Quadratic twists by: -7 |