Atkin-Lehner |
2+ 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35190x |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-1020999664627200 = -1 · 29 · 36 · 52 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-918099,-338370507] |
[a1,a2,a3,a4,a6] |
j |
-117399160931444643889/1400548236800 |
j-invariant |
L |
1.3880955197822 |
L(r)(E,1)/r! |
Ω |
0.07711641776603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910i1 |
Quadratic twists by: -3 |