Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394h |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3023519481008127216 = 24 · 34 · 238 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-108929242114,13837684107141700] |
[a1,a2,a3,a4,a6] |
Generators |
[427801881:-7166215993:2197] |
Generators of the group modulo torsion |
j |
965584180645000788866956763257/20424232944 |
j-invariant |
L |
5.2862496722524 |
L(r)(E,1)/r! |
Ω |
0.059917839579329 |
Real period |
R |
7.3520809363899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977342 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278b2 |
Quadratic twists by: -23 |