Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
5390b |
Isogeny class |
Conductor |
5390 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
146016 |
Modular degree for the optimal curve |
Δ |
1159461356767436800 = 213 · 52 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11- 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3623429,2653967152] |
[a1,a2,a3,a4,a6] |
j |
2191243533026687730409/482907687116800 |
j-invariant |
L |
1.6016773630174 |
L(r)(E,1)/r! |
Ω |
0.26694622716957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
43120y1 48510dp1 26950bz1 5390t1 |
Quadratic twists by: -4 -3 5 -7 |