Atkin-Lehner |
2+ 3- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
95976i |
Isogeny class |
Conductor |
95976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
11334573648 = 24 · 312 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3918,-94255] |
[a1,a2,a3,a4,a6] |
Generators |
[75005:1826874:125] |
Generators of the group modulo torsion |
j |
570255517696/971757 |
j-invariant |
L |
8.3618783678969 |
L(r)(E,1)/r! |
Ω |
0.60350086777657 |
Real period |
R |
6.9278097334456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952716 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31992h1 |
Quadratic twists by: -3 |