Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310bg |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
14199706080 = 25 · 33 · 5 · 74 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2447,46839] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:222:1] |
Generators of the group modulo torsion |
j |
59992292429523/525915040 |
j-invariant |
L |
8.0185760542262 |
L(r)(E,1)/r! |
Ω |
1.2580102247068 |
Real period |
R |
0.63740150093733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23310a2 116550m2 |
Quadratic twists by: -3 5 |