Atkin-Lehner |
2- 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74100b |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
-148425818860800 = -1 · 28 · 34 · 52 · 133 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13+ 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97863548,-372598867128] |
[a1,a2,a3,a4,a6] |
j |
-16195956930010173508855120/23191534197 |
j-invariant |
L |
2.4000170393734 |
L(r)(E,1)/r! |
Ω |
0.024000170081499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74100bm1 |
Quadratic twists by: 5 |