Atkin-Lehner |
3+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397m |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-172928474758733499 = -1 · 33 · 135 · 297 |
Discriminant |
Eigenvalues |
-2 3+ 3 0 -6 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-269961,-57576332] |
[a1,a2,a3,a4,a6] |
Generators |
[638:5466:1] [703:10003:1] |
Generators of the group modulo torsion |
j |
-135479955456/10767497 |
j-invariant |
L |
7.14347765231 |
L(r)(E,1)/r! |
Ω |
0.10424861113318 |
Real period |
R |
1.7130870074941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98397j1 3393b1 |
Quadratic twists by: -3 29 |