Atkin-Lehner |
3+ 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84975b |
Isogeny class |
Conductor |
84975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-186712646484375 = -1 · 33 · 514 · 11 · 103 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10725,-495000] |
[a1,a2,a3,a4,a6] |
Generators |
[2569192459618062280:-41226951764966171765:12906434889298432] |
Generators of the group modulo torsion |
j |
8730363285071/11949609375 |
j-invariant |
L |
7.7018660046288 |
L(r)(E,1)/r! |
Ω |
0.3022870688321 |
Real period |
R |
25.478648613463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16995f1 |
Quadratic twists by: 5 |