Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ei |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1397760 |
Modular degree for the optimal curve |
Δ |
-1562957968356787392 = -1 · 26 · 311 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 0 1 6 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-856830,-311143534] |
[a1,a2,a3,a4,a6] |
Generators |
[60114447415486784:5055975122025791781:8350600527872] |
Generators of the group modulo torsion |
j |
-10816000/243 |
j-invariant |
L |
8.2483765230901 |
L(r)(E,1)/r! |
Ω |
0.078355342778228 |
Real period |
R |
26.317211534751 |
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 |
97344el1 48672bk1 32448bv1 97344ek1 |
Quadratic twists by: -4 8 -3 13 |