Atkin-Lehner |
3+ 5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325s |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-12190763671875 = -1 · 33 · 59 · 19 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5- 1 1 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37430,-2782928] |
[a1,a2,a3,a4,a6] |
j |
-109971085671/231173 |
j-invariant |
L |
2.0591695081915 |
L(r)(E,1)/r! |
Ω |
0.17159744019379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325k1 98325l1 |
Quadratic twists by: -3 5 |