Atkin-Lehner |
3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771h |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-3.1429647022513E+22 |
Discriminant |
Eigenvalues |
2 3+ 1 7- 11- 5 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1329830,8550426785] |
[a1,a2,a3,a4,a6] |
Generators |
[379356870:44882761283:27000] |
Generators of the group modulo torsion |
j |
-146810225600966656/17741216375000811 |
j-invariant |
L |
13.311954502523 |
L(r)(E,1)/r! |
Ω |
0.096093875974925 |
Real period |
R |
11.544227252067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7161c1 |
Quadratic twists by: -11 |