Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gn |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[4645995:895709768:125] |
Generators of the group modulo torsion |
j |
272199695/3735552 |
j-invariant |
L |
5.8187171566905 |
L(r)(E,1)/r! |
Ω |
0.22286550689046 |
Real period |
R |
13.054324202505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200el1 22800dn1 91200hg1 |
Quadratic twists by: -4 8 5 |