Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325l |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-780208875 = -1 · 33 · 53 · 19 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5- -1 1 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1497,-21964] |
[a1,a2,a3,a4,a6] |
Generators |
[100:856:1] |
Generators of the group modulo torsion |
j |
-109971085671/231173 |
j-invariant |
L |
6.5314252949967 |
L(r)(E,1)/r! |
Ω |
0.38370354103826 |
Real period |
R |
4.2555153741101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325t1 98325s1 |
Quadratic twists by: -3 5 |