Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450d |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
24822720000000000 = 215 · 33 · 510 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 13- 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-545742,155128916] |
[a1,a2,a3,a4,a6] |
j |
68174582440275/94142464 |
j-invariant |
L |
1.5088182469918 |
L(r)(E,1)/r! |
Ω |
0.37720456386137 |
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 |
99450cc1 99450ce1 |
Quadratic twists by: -3 5 |