Atkin-Lehner |
2+ 3- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954m |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-1125612103891968 = -1 · 210 · 33 · 73 · 116 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1271,1614170] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:265:1] |
Generators of the group modulo torsion |
j |
-226813596171625/1125612103891968 |
j-invariant |
L |
5.4059488331058 |
L(r)(E,1)/r! |
Ω |
0.39206427300491 |
Real period |
R |
4.5961416748268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
92862bu1 |
Quadratic twists by: -3 |