Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
374a |
Isogeny class |
Conductor |
374 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-135399968 = -1 · 25 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,128,-96] |
[a1,a2,a3,a4,a6] |
Generators |
[5:23:1] |
Generators of the group modulo torsion |
j |
230910510375/135399968 |
j-invariant |
L |
1.3150843335092 |
L(r)(E,1)/r! |
Ω |
1.0851653280876 |
Real period |
R |
1.2118746328053 |
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 |
2992g2 11968d2 3366p2 9350w2 |
Quadratic twists by: -4 8 -3 5 |