Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370k |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
87736320 |
Modular degree for the optimal curve |
Δ |
5.5231535029038E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7448574018,247430010120372] |
[a1,a2,a3,a4,a6] |
Generators |
[49796:-37218:1] [905453:-858261189:1] |
Generators of the group modulo torsion |
j |
385392122382860622756377/4657435200 |
j-invariant |
L |
5.4583294989974 |
L(r)(E,1)/r! |
Ω |
0.082886978657575 |
Real period |
R |
10.975446298852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370bl1 |
Quadratic twists by: 17 |