Atkin-Lehner |
7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30821m |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7840 |
Modular degree for the optimal curve |
Δ |
-215747 = -1 · 73 · 17 · 37 |
Discriminant |
Eigenvalues |
0 3 4 7- -2 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28,61] |
[a1,a2,a3,a4,a6] |
j |
-7077888/629 |
j-invariant |
L |
6.1727332571626 |
L(r)(E,1)/r! |
Ω |
3.0863666285815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30821f1 |
Quadratic twists by: -7 |