Atkin-Lehner |
2+ 3- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954k |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
508032 |
Modular degree for the optimal curve |
Δ |
-3824901632553507198 = -1 · 2 · 312 · 79 · 113 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,164279,-90524254] |
[a1,a2,a3,a4,a6] |
j |
490313288864178848375/3824901632553507198 |
j-invariant |
L |
1.479953470163 |
L(r)(E,1)/r! |
Ω |
0.1233294558468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92862bz1 |
Quadratic twists by: -3 |