Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
30258k |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96432 |
Modular degree for the optimal curve |
Δ |
-431185962372534 = -1 · 2 · 33 · 418 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12923,-1144735] |
[a1,a2,a3,a4,a6] |
Generators |
[26774727456:169069896811:160989184] |
Generators of the group modulo torsion |
j |
-1107/2 |
j-invariant |
L |
7.4103799618872 |
L(r)(E,1)/r! |
Ω |
0.21116170184698 |
Real period |
R |
17.546695013987 |
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 |
30258c1 30258i1 |
Quadratic twists by: -3 41 |