Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351r |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5883587792741623419 = 34 · 711 · 13 · 414 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4625019204,-121065334615611] |
[a1,a2,a3,a4,a6] |
Generators |
[179091599218776510:-459012420636536781279:27270901000] |
Generators of the group modulo torsion |
j |
92998531985010824896591542193/50009671078731 |
j-invariant |
L |
4.5253826153803 |
L(r)(E,1)/r! |
Ω |
0.018307168110747 |
Real period |
R |
30.898980321046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11193a4 |
Quadratic twists by: -7 |