Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488h |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-6407516130607872 = -1 · 28 · 38 · 75 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3828,-3852340] |
[a1,a2,a3,a4,a6] |
j |
-33240841216/34333827003 |
j-invariant |
L |
5.7265365384165 |
L(r)(E,1)/r! |
Ω |
0.19088455120539 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30744e1 20496c1 |
Quadratic twists by: -4 -3 |