Atkin-Lehner |
2+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42224b |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
3231444944 = 24 · 72 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ -2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8099,-283244] |
[a1,a2,a3,a4,a6] |
Generators |
[156:1508:1] |
Generators of the group modulo torsion |
j |
3672413274007552/201965309 |
j-invariant |
L |
2.7350989439655 |
L(r)(E,1)/r! |
Ω |
0.50325566176956 |
Real period |
R |
1.8116033603688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21112f1 |
Quadratic twists by: -4 |