Atkin-Lehner |
2+ 3- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bh |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
123216446052 = 22 · 39 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1818,25056] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-240:1] [-41:192:1] |
Generators of the group modulo torsion |
j |
911826451873/169021188 |
j-invariant |
L |
6.9757839803637 |
L(r)(E,1)/r! |
Ω |
0.99411427065511 |
Real period |
R |
0.87713558013382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718t1 |
Quadratic twists by: -3 |