Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850v |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
-1311187500000 = -1 · 25 · 34 · 59 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5575,167125] |
[a1,a2,a3,a4,a6] |
Generators |
[85:520:1] |
Generators of the group modulo torsion |
j |
-9814089221/671328 |
j-invariant |
L |
3.2552456740838 |
L(r)(E,1)/r! |
Ω |
0.84423834297334 |
Real period |
R |
0.96395931942078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550fr1 38850dc1 |
Quadratic twists by: -3 5 |