Atkin-Lehner |
2+ 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350f |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
-999511718750 = -1 · 2 · 512 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -1 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11525,473875] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1485:1] |
Generators of the group modulo torsion |
j |
-10836408452689/63968750 |
j-invariant |
L |
3.349953004802 |
L(r)(E,1)/r! |
Ω |
0.88295094303188 |
Real period |
R |
0.94851051569891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999962847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20470h1 |
Quadratic twists by: 5 |