Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410h |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
204274774725228900 = 22 · 34 · 52 · 76 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-256643,-45178503] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:2357:1] |
Generators of the group modulo torsion |
j |
1055257664218129/115307784900 |
j-invariant |
L |
2.7060754610157 |
L(r)(E,1)/r! |
Ω |
0.21361642370466 |
Real period |
R |
1.0556598809544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230fa2 127050hg2 2310m2 |
Quadratic twists by: -3 5 -11 |