Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59696y |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-36692504576 = -1 · 212 · 75 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3 1 7- 0 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115072,-15024592] |
[a1,a2,a3,a4,a6] |
Generators |
[9834092587197:161437283203231:18337088853] |
Generators of the group modulo torsion |
j |
-41140801499037696/8958131 |
j-invariant |
L |
12.970822689832 |
L(r)(E,1)/r! |
Ω |
0.12960660602083 |
Real period |
R |
20.01568143486 |
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 |
3731b1 |
Quadratic twists by: -4 |