Atkin-Lehner |
2+ 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640h |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-74009600 = -1 · 210 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 2 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25627,1579046] |
[a1,a2,a3,a4,a6] |
Generators |
[2469:440:27] |
Generators of the group modulo torsion |
j |
-37095478898436/1475 |
j-invariant |
L |
13.784997146235 |
L(r)(E,1)/r! |
Ω |
1.4381903155805 |
Real period |
R |
2.3962400777752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640d1 |
Quadratic twists by: -7 |