Atkin-Lehner |
2+ 3+ 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154c |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
2846792769585408 = 28 · 39 · 72 · 193 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 6 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194955,-32983867] |
[a1,a2,a3,a4,a6] |
j |
41632913740884003/144632056576 |
j-invariant |
L |
2.7270172710537 |
L(r)(E,1)/r! |
Ω |
0.22725140627342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154bq1 |
Quadratic twists by: -3 |