Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230j |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
475326720 = 28 · 32 · 5 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38687,-2945019] |
[a1,a2,a3,a4,a6] |
Generators |
[286:2937:1] |
Generators of the group modulo torsion |
j |
6403780138352571001/475326720 |
j-invariant |
L |
3.07037490661 |
L(r)(E,1)/r! |
Ω |
0.34041354444382 |
Real period |
R |
3.0065146317122 |
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 |
81840dh1 30690z1 51150ci1 112530ca1 |
Quadratic twists by: -4 -3 5 -11 |