Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410y |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1173673670400000000 = -1 · 214 · 39 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-261759,73284946] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8433:1] |
Generators of the group modulo torsion |
j |
-1490212288072889459/881798400000000 |
j-invariant |
L |
4.6699510312128 |
L(r)(E,1)/r! |
Ω |
0.25392111481742 |
Real period |
R |
1.0217414339206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230et1 127050ev1 25410ch1 |
Quadratic twists by: -3 5 -11 |