Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200el |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-382520524800000000 = -1 · 234 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -1 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63167,-29101537] |
[a1,a2,a3,a4,a6] |
j |
272199695/3735552 |
j-invariant |
L |
2.3580903870839 |
L(r)(E,1)/r! |
Ω |
0.1473806569841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200gn1 2850t1 91200t1 |
Quadratic twists by: -4 8 5 |