Atkin-Lehner |
2+ 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59774d |
Isogeny class |
Conductor |
59774 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-134475241472 = -1 · 211 · 112 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3 0 1 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1193,-8035] |
[a1,a2,a3,a4,a6] |
Generators |
[455007:3561223:9261] |
Generators of the group modulo torsion |
j |
1551153891375/1111365632 |
j-invariant |
L |
9.0838765203474 |
L(r)(E,1)/r! |
Ω |
0.58405364649208 |
Real period |
R |
7.7765771815392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59774v1 |
Quadratic twists by: -11 |