Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
30258n |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-43410305376 = -1 · 25 · 39 · 413 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1607,-26337] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-1164:1] |
Generators of the group modulo torsion |
j |
-9129329/864 |
j-invariant |
L |
8.7089562605058 |
L(r)(E,1)/r! |
Ω |
0.37502162573951 |
Real period |
R |
0.58056360372102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086a1 30258m1 |
Quadratic twists by: -3 41 |