Atkin-Lehner |
2- 3+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050bm |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
4193572500000 = 25 · 37 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42313,3331031] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-8:1] |
Generators of the group modulo torsion |
j |
536198730680521/268388640 |
j-invariant |
L |
9.7747766623724 |
L(r)(E,1)/r! |
Ω |
0.76859583704147 |
Real period |
R |
1.271770700541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23010g1 |
Quadratic twists by: 5 |