Atkin-Lehner |
2+ 3+ 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350h |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-120919500000 = -1 · 25 · 33 · 56 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 5 13- 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-225,-16875] |
[a1,a2,a3,a4,a6] |
Generators |
[350:1775:8] |
Generators of the group modulo torsion |
j |
-81182737/7738848 |
j-invariant |
L |
4.8626569850807 |
L(r)(E,1)/r! |
Ω |
0.46324016415308 |
Real period |
R |
2.6242634656818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4134f1 |
Quadratic twists by: 5 |