Atkin-Lehner |
3+ 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925i |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-59383860423468075 = -1 · 313 · 52 · 116 · 292 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 1 11- -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-70718,-13755322] |
[a1,a2,a3,a4,a6] |
Generators |
[346:1754:1] |
Generators of the group modulo torsion |
j |
-1564515081195335680/2375354416938723 |
j-invariant |
L |
2.3070140591543 |
L(r)(E,1)/r! |
Ω |
0.13890399902562 |
Real period |
R |
1.3840578597074 |
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 |
71775x1 23925bg1 |
Quadratic twists by: -3 5 |