Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616m |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-10394944535872512 = -1 · 210 · 33 · 710 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ -6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50421,2252138] |
[a1,a2,a3,a4,a6] |
j |
1815156/1331 |
j-invariant |
L |
1.0355425726589 |
L(r)(E,1)/r! |
Ω |
0.25888564003848 |
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 |
38808bw1 77616ba1 77616b1 |
Quadratic twists by: -4 -3 -7 |