Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
78078be |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
970057184644548 = 22 · 33 · 7 · 112 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8857801,-10147721608] |
[a1,a2,a3,a4,a6] |
Generators |
[139282:-52038466:1] |
Generators of the group modulo torsion |
j |
7247883906578125/91476 |
j-invariant |
L |
5.8409649209457 |
L(r)(E,1)/r! |
Ω |
0.087512095062309 |
Real period |
R |
11.124109789017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78078do2 |
Quadratic twists by: 13 |