Atkin-Lehner |
7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30821c |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-8806145299 = -1 · 77 · 172 · 37 |
Discriminant |
Eigenvalues |
0 2 -1 7- -3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-261,-4712] |
[a1,a2,a3,a4,a6] |
Generators |
[26:73:1] |
Generators of the group modulo torsion |
j |
-16777216/74851 |
j-invariant |
L |
5.1991588150684 |
L(r)(E,1)/r! |
Ω |
0.53897263056896 |
Real period |
R |
1.2058030686967 |
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 |
4403a1 |
Quadratic twists by: -7 |