Atkin-Lehner |
5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65065d |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1951488 |
Modular degree for the optimal curve |
Δ |
-8286255412435 = -1 · 5 · 74 · 11 · 137 |
Discriminant |
Eigenvalues |
2 0 5+ 7+ 11+ 13+ -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12601823,-17218613461] |
[a1,a2,a3,a4,a6] |
Generators |
[3782163847698259275055000444910597194:797408434854231788207217006808529967357:84534234278905109995152635925224] |
Generators of the group modulo torsion |
j |
-45852574428123549696/1716715 |
j-invariant |
L |
9.2657225186137 |
L(r)(E,1)/r! |
Ω |
0.040064637270491 |
Real period |
R |
57.817336870278 |
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 |
5005f1 |
Quadratic twists by: 13 |