Atkin-Lehner |
2- 3+ 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236h |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
593280 |
Modular degree for the optimal curve |
Δ |
-1452352051761408 = -1 · 28 · 39 · 7 · 175 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -5 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20169,-1465074] |
[a1,a2,a3,a4,a6] |
Generators |
[615:15606:1] |
Generators of the group modulo torsion |
j |
180071736336/288230971 |
j-invariant |
L |
4.3424303756198 |
L(r)(E,1)/r! |
Ω |
0.25248923880729 |
Real period |
R |
0.57328257383635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998962262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236d1 |
Quadratic twists by: -3 |