Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878bv |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-324375245750304 = -1 · 25 · 35 · 77 · 373 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19846,1379972] |
[a1,a2,a3,a4,a6] |
Generators |
[326:5276:1] |
Generators of the group modulo torsion |
j |
-7347774183121/2757144096 |
j-invariant |
L |
7.60574978272 |
L(r)(E,1)/r! |
Ω |
0.51012044228001 |
Real period |
R |
0.099398091801298 |
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 |
87024cp1 32634bf1 1554h1 |
Quadratic twists by: -4 -3 -7 |