Atkin-Lehner |
2+ 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090p |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9732096 |
Modular degree for the optimal curve |
Δ |
1650319438932971520 = 212 · 3 · 5 · 73 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30006742,63254343124] |
[a1,a2,a3,a4,a6] |
j |
20184279492242626489/11148103680 |
j-invariant |
L |
1.3130771449776 |
L(r)(E,1)/r! |
Ω |
0.21884621368645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830b1 |
Quadratic twists by: -23 |