Atkin-Lehner |
3+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
95475a |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
45932501862890625 = 3 · 58 · 194 · 673 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-454900,-117831125] |
[a1,a2,a3,a4,a6] |
Generators |
[846:9761:1] |
Generators of the group modulo torsion |
j |
666274187460356929/2939680119225 |
j-invariant |
L |
4.6509273644224 |
L(r)(E,1)/r! |
Ω |
0.18388052630033 |
Real period |
R |
2.1077668621829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095f1 |
Quadratic twists by: 5 |