Atkin-Lehner |
7- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30821g |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
83160 |
Modular degree for the optimal curve |
Δ |
-138690202350581 = -1 · 76 · 17 · 375 |
Discriminant |
Eigenvalues |
-1 0 -3 7- -5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8364,-636436] |
[a1,a2,a3,a4,a6] |
Generators |
[186:1960:1] |
Generators of the group modulo torsion |
j |
-549957165057/1178847269 |
j-invariant |
L |
1.386522592566 |
L(r)(E,1)/r! |
Ω |
0.23392509508685 |
Real period |
R |
1.185441512422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
629d1 |
Quadratic twists by: -7 |