Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736w |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
1269814859733131264 = 213 · 76 · 19 · 375 |
Discriminant |
Eigenvalues |
2- -2 1 7- -5 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65460120,203829391636] |
[a1,a2,a3,a4,a6] |
Generators |
[4684:-1554:1] [2094:275576:1] |
Generators of the group modulo torsion |
j |
7573456968156842560985881/310013393489534 |
j-invariant |
L |
7.8130000771289 |
L(r)(E,1)/r! |
Ω |
0.2020549567489 |
Real period |
R |
0.32223081790764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842a1 |
Quadratic twists by: -4 |