Atkin-Lehner |
2+ 3- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614g |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-1.512880753891E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11+ 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,102708,186682320] |
[a1,a2,a3,a4,a6] |
Generators |
[35832:6765060:1] |
Generators of the group modulo torsion |
j |
164363970016109375/20752822412771328 |
j-invariant |
L |
5.2471018960341 |
L(r)(E,1)/r! |
Ω |
0.17023164193792 |
Real period |
R |
3.8529131826636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32538x1 |
Quadratic twists by: -3 |