Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
60200m |
Isogeny class |
Conductor |
60200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-21816720800000000 = -1 · 211 · 58 · 73 · 433 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -5 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175675,-29218250] |
[a1,a2,a3,a4,a6] |
Generators |
[1470:53750:1] |
Generators of the group modulo torsion |
j |
-18737153748882/681772525 |
j-invariant |
L |
2.3242007961063 |
L(r)(E,1)/r! |
Ω |
0.11634963956842 |
Real period |
R |
3.3293339011077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400g1 12040c1 |
Quadratic twists by: -4 5 |