Atkin-Lehner |
2+ 3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310r |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7432733826000 = -1 · 24 · 315 · 53 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318249,-69023907] |
[a1,a2,a3,a4,a6] |
Generators |
[702:6939:1] |
Generators of the group modulo torsion |
j |
-4889878795573542289/10195794000 |
j-invariant |
L |
3.8550665017926 |
L(r)(E,1)/r! |
Ω |
0.10050268833183 |
Real period |
R |
1.598243525364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770v1 116550ez1 |
Quadratic twists by: -3 5 |