Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520cd |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
241823232 |
Modular degree for the optimal curve |
Δ |
-8.5182636549136E+30 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1642159720,-138065178401900] |
[a1,a2,a3,a4,a6] |
Generators |
[4519990:9610000000:1] |
Generators of the group modulo torsion |
j |
20740806010942016877479/360750390625000000000 |
j-invariant |
L |
3.5785756163873 |
L(r)(E,1)/r! |
Ω |
0.011323075307768 |
Real period |
R |
2.323843573279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190n1 121520ca1 |
Quadratic twists by: -4 -7 |