Atkin-Lehner |
2- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
98900g |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-531587500000000 = -1 · 28 · 511 · 23 · 432 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 -4 -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6533,1129937] |
[a1,a2,a3,a4,a6] |
Generators |
[624:26875:27] |
Generators of the group modulo torsion |
j |
-7710244864/132896875 |
j-invariant |
L |
6.2626948260628 |
L(r)(E,1)/r! |
Ω |
0.43902914979737 |
Real period |
R |
1.7831090536576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19780c1 |
Quadratic twists by: 5 |