Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
92352bn |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1986560 |
Modular degree for the optimal curve |
Δ |
113972933320828608 = 26 · 3 · 132 · 378 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8121368,-8905518402] |
[a1,a2,a3,a4,a6] |
Generators |
[14799521:1503129440:1331] |
Generators of the group modulo torsion |
j |
925617083313029149288000/1780827083137947 |
j-invariant |
L |
3.9674227217662 |
L(r)(E,1)/r! |
Ω |
0.089431868152118 |
Real period |
R |
11.09062911268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352cd1 46176k2 |
Quadratic twists by: -4 8 |