Atkin-Lehner |
2+ 3+ 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238c |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
240768 |
Modular degree for the optimal curve |
Δ |
-102535650607104 = -1 · 219 · 33 · 11 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11+ 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9555,-603083] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3155:1] |
Generators of the group modulo torsion |
j |
-3573366722649387/3797616689152 |
j-invariant |
L |
3.8285913626012 |
L(r)(E,1)/r! |
Ω |
0.231677507917 |
Real period |
R |
2.7542533827295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95238bx1 |
Quadratic twists by: -3 |