Atkin-Lehner |
2- 3+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61272h |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-23528448 = -1 · 210 · 33 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,342] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:24:1] [3:-12:1] |
Generators of the group modulo torsion |
j |
-1687500/851 |
j-invariant |
L |
9.166680631773 |
L(r)(E,1)/r! |
Ω |
1.988301519353 |
Real period |
R |
1.1525767775351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122544d1 61272c1 |
Quadratic twists by: -4 -3 |