Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230d |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
360096000 = 28 · 3 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-183,-363] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:12:1] |
Generators of the group modulo torsion |
j |
683565019129/360096000 |
j-invariant |
L |
2.2698105388503 |
L(r)(E,1)/r! |
Ω |
1.3759042362547 |
Real period |
R |
1.6496864236924 |
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 |
81840cr1 30690bl1 51150cm1 112530bs1 |
Quadratic twists by: -4 -3 5 -11 |