Atkin-Lehner |
2+ 3- 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154o |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
492865784208 = 24 · 39 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4221,-98955] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:75:1] |
Generators of the group modulo torsion |
j |
11410380159697/676084752 |
j-invariant |
L |
5.1692168914643 |
L(r)(E,1)/r! |
Ω |
0.59449234224536 |
Real period |
R |
1.0868972802646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023345 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718p1 |
Quadratic twists by: -3 |