Atkin-Lehner |
2- 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30798o |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
9978552 = 23 · 36 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 5 -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131,587] |
[a1,a2,a3,a4,a6] |
Generators |
[9:4:1] |
Generators of the group modulo torsion |
j |
338608873/13688 |
j-invariant |
L |
7.0638141687949 |
L(r)(E,1)/r! |
Ω |
2.2720982788686 |
Real period |
R |
0.51815644262186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3422d1 |
Quadratic twists by: -3 |