Atkin-Lehner |
2+ 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430o |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
61238362500 = 22 · 33 · 55 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1689,24345] |
[a1,a2,a3,a4,a6] |
Generators |
[327:1849:27] [-26:237:1] |
Generators of the group modulo torsion |
j |
57557166381/6612500 |
j-invariant |
L |
9.0955156089954 |
L(r)(E,1)/r! |
Ω |
1.0721849279645 |
Real period |
R |
0.42415796809569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430cv1 101430f1 |
Quadratic twists by: -3 -7 |