Atkin-Lehner |
2+ 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61752f |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-11973409041417984 = -1 · 28 · 39 · 315 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 0 -5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,30036,4858452] |
[a1,a2,a3,a4,a6] |
Generators |
[749:21142:1] |
Generators of the group modulo torsion |
j |
11705651079280688/46771129068039 |
j-invariant |
L |
7.6117539279444 |
L(r)(E,1)/r! |
Ω |
0.28634003090456 |
Real period |
R |
2.658291927885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504k1 |
Quadratic twists by: -4 |