Atkin-Lehner |
2- 3- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798p |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-797233559930353152 = -1 · 29 · 322 · 292 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 5 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44600,-43100229] |
[a1,a2,a3,a4,a6] |
j |
-13458344190189625/1093598847641088 |
j-invariant |
L |
4.4975778237705 |
L(r)(E,1)/r! |
Ω |
0.12493271732701 |
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 |
10266a1 |
Quadratic twists by: -3 |