Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210s |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239120640 |
Modular degree for the optimal curve |
Δ |
-8.3821753938297E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -5 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47648007609,4003285137916013] |
[a1,a2,a3,a4,a6] |
Generators |
[2757247:4563086869:1] |
Generators of the group modulo torsion |
j |
-4676825213054616231/3276800 |
j-invariant |
L |
4.4969315246639 |
L(r)(E,1)/r! |
Ω |
0.045515710834764 |
Real period |
R |
12.349943120379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210ch1 123210ci1 |
Quadratic twists by: -3 37 |