Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600ci |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
-743342928507699200 = -1 · 231 · 52 · 614 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 -3 0 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1205740,511284560] |
[a1,a2,a3,a4,a6] |
Generators |
[33807:838567:27] |
Generators of the group modulo torsion |
j |
-29580450758086905/113425129472 |
j-invariant |
L |
13.970025177515 |
L(r)(E,1)/r! |
Ω |
0.28597213950122 |
Real period |
R |
6.1063750805645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97600w1 24400s1 97600cz1 |
Quadratic twists by: -4 8 5 |