Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600by |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-401044935628800 = -1 · 211 · 313 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15195,-1203370] |
[a1,a2,a3,a4,a6] |
Generators |
[220810:2491479:1000] |
Generators of the group modulo torsion |
j |
-10395091970/10744731 |
j-invariant |
L |
6.0214698524409 |
L(r)(E,1)/r! |
Ω |
0.20647304061802 |
Real period |
R |
7.2908669267636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200bb1 10200d1 30600be1 |
Quadratic twists by: -4 -3 5 |