Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2950c |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-71290880000000000 = -1 · 221 · 510 · 592 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 3 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40325,13202125] |
[a1,a2,a3,a4,a6] |
Generators |
[219:3755:1] |
Generators of the group modulo torsion |
j |
-742614841825/7300186112 |
j-invariant |
L |
2.3423413920164 |
L(r)(E,1)/r! |
Ω |
0.29526552442219 |
Real period |
R |
3.9664999776053 |
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 |
23600s1 94400r1 26550ce1 2950s1 |
Quadratic twists by: -4 8 -3 5 |