Atkin-Lehner |
2- 3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382be |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-6.0256235900114E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8130914,-14806054033] |
[a1,a2,a3,a4,a6] |
j |
-505304979693115442833/512169554353324032 |
j-invariant |
L |
2.7489951758678 |
L(r)(E,1)/r! |
Ω |
0.042953049433319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1518s1 |
Quadratic twists by: -7 |