Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960cb |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23639040 |
Modular degree for the optimal curve |
Δ |
-3.8991290656631E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 1 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69529683,-242534939618] |
[a1,a2,a3,a4,a6] |
Generators |
[103385556463:8683508079000:7645373] |
Generators of the group modulo torsion |
j |
-2932095879364/307546875 |
j-invariant |
L |
7.4277912391943 |
L(r)(E,1)/r! |
Ω |
0.025987175010024 |
Real period |
R |
11.909386130417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320o1 129960y1 |
Quadratic twists by: -3 -19 |