Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200by |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-193651015680000 = -1 · 226 · 35 · 54 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 1 0 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32833,2396737] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1516:1] [81:-512:1] |
Generators of the group modulo torsion |
j |
-23891790625/1181952 |
j-invariant |
L |
8.457801744332 |
L(r)(E,1)/r! |
Ω |
0.5600228137404 |
Real period |
R |
3.7756505344513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200jj1 2850bb1 91200di1 |
Quadratic twists by: -4 8 5 |