Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350dm |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
191198047851562500 = 22 · 39 · 512 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-196130,26031997] |
[a1,a2,a3,a4,a6] |
Generators |
[-3458:45475:8] |
Generators of the group modulo torsion |
j |
2712953829123/621687500 |
j-invariant |
L |
9.4581882608181 |
L(r)(E,1)/r! |
Ω |
0.30015349149684 |
Real period |
R |
2.6259309873208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350p1 18270a1 |
Quadratic twists by: -3 5 |