Atkin-Lehner |
3- 5+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
98475o |
Isogeny class |
Conductor |
98475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
84511552734375 = 3 · 510 · 134 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 5 -2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24701,1425173] |
[a1,a2,a3,a4,a6] |
Generators |
[-56287:382131:343] |
Generators of the group modulo torsion |
j |
170664031825/8653983 |
j-invariant |
L |
11.324758160257 |
L(r)(E,1)/r! |
Ω |
0.59891344202933 |
Real period |
R |
9.4544197512992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98475m1 |
Quadratic twists by: 5 |