Atkin-Lehner |
2+ 3- 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154n |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
31543410189312 = 210 · 39 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27648,-1741824] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:192:1] |
Generators of the group modulo torsion |
j |
3206241136852993/43269424128 |
j-invariant |
L |
4.1980157587606 |
L(r)(E,1)/r! |
Ω |
0.37054212637041 |
Real period |
R |
1.416173583101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718k1 |
Quadratic twists by: -3 |