Atkin-Lehner |
2- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
63916c |
Isogeny class |
Conductor |
63916 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
396720 |
Modular degree for the optimal curve |
Δ |
-2433198552642304 = -1 · 28 · 19 · 298 |
Discriminant |
Eigenvalues |
2- 2 2 3 -3 4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65037,-6789175] |
[a1,a2,a3,a4,a6] |
Generators |
[9810847035629494754817766840858399157511445549600:130749524635146456548361406571497313526376674004695:25155717378496705348329724839103963696572761747] |
Generators of the group modulo torsion |
j |
-237568/19 |
j-invariant |
L |
11.534307979263 |
L(r)(E,1)/r! |
Ω |
0.14879659594254 |
Real period |
R |
77.517283955315 |
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 |
63916g1 |
Quadratic twists by: 29 |