Atkin-Lehner |
2- 3+ 13- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30498o |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-1791601885052928 = -1 · 220 · 32 · 134 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56439,5524557] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:2114:1] [-225:2738:1] |
Generators of the group modulo torsion |
j |
-19882094043448172017/1791601885052928 |
j-invariant |
L |
8.544384893257 |
L(r)(E,1)/r! |
Ω |
0.45994794669405 |
Real period |
R |
0.92884259563211 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91494l1 |
Quadratic twists by: -3 |