Atkin-Lehner |
3+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325m |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-44433111549108375 = -1 · 33 · 53 · 196 · 234 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 -6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,53155,-8991268] |
[a1,a2,a3,a4,a6] |
Generators |
[1060:34648:1] |
Generators of the group modulo torsion |
j |
4921414699502673/13165366384921 |
j-invariant |
L |
3.3386923371901 |
L(r)(E,1)/r! |
Ω |
0.1852736652197 |
Real period |
R |
1.5016940550699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325q1 98325r1 |
Quadratic twists by: -3 5 |