Atkin-Lehner |
2+ 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310i |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-303572685937500 = -1 · 22 · 37 · 58 · 74 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15570,374976] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1500:1] |
Generators of the group modulo torsion |
j |
572593391788319/416423437500 |
j-invariant |
L |
3.0460441603638 |
L(r)(E,1)/r! |
Ω |
0.34713078414103 |
Real period |
R |
2.1937294958593 |
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 |
7770bb4 116550es3 |
Quadratic twists by: -3 5 |