Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410x |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1559266767051840 = 26 · 36 · 5 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38844,2249146] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:1551:1] |
Generators of the group modulo torsion |
j |
3658671062929/880165440 |
j-invariant |
L |
4.3318546779165 |
L(r)(E,1)/r! |
Ω |
0.44702484341881 |
Real period |
R |
0.80753429063486 |
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 |
76230eo1 127050gg1 2310u1 |
Quadratic twists by: -3 5 -11 |