Atkin-Lehner |
2+ 3- 5- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30210m |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
16625912579788800 = 212 · 3 · 52 · 193 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-70643,3701006] |
[a1,a2,a3,a4,a6] |
Generators |
[-2760:86134:27] |
Generators of the group modulo torsion |
j |
38987220761942593321/16625912579788800 |
j-invariant |
L |
5.0821071533853 |
L(r)(E,1)/r! |
Ω |
0.35271862899602 |
Real period |
R |
7.204194413903 |
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 |
90630bv1 |
Quadratic twists by: -3 |