Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30600bd |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-916883712000 = -1 · 211 · 36 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4755,134350] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:500:1] |
Generators of the group modulo torsion |
j |
-63710026/4913 |
j-invariant |
L |
6.4161158570885 |
L(r)(E,1)/r! |
Ω |
0.86771527668486 |
Real period |
R |
3.6971320140873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200cj1 3400g1 30600cx1 |
Quadratic twists by: -4 -3 5 |