Atkin-Lehner |
3- 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325cr |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
-2745295221569625 = -1 · 36 · 53 · 195 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 1 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17570,-2671118] |
[a1,a2,a3,a4,a6] |
Generators |
[194:995:1] |
Generators of the group modulo torsion |
j |
-6582309243021/30126696533 |
j-invariant |
L |
4.9497927676267 |
L(r)(E,1)/r! |
Ω |
0.18799252300609 |
Real period |
R |
0.43882886563977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10925i1 98325cl1 |
Quadratic twists by: -3 5 |