Atkin-Lehner |
2+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
3550h |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28272 |
Modular degree for the optimal curve |
Δ |
-6765915668480000 = -1 · 231 · 54 · 712 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 5 -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22825,-4183675] |
[a1,a2,a3,a4,a6] |
j |
-2104290928515625/10825465069568 |
j-invariant |
L |
0.3501642400762 |
L(r)(E,1)/r! |
Ω |
0.1750821200381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28400bb1 113600bo1 31950cw1 3550k1 |
Quadratic twists by: -4 8 -3 5 |